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Former-commit-id: 79338902f352e860d6b80454726987ca8ccdf801
Supplementary (derivation of 1D and 2D lattice sums)
2020-06-23 12:14:07 +03:00 · 2020-06-23 11:41:48 +03:00 · 2020-06-23 10:57:05 +03:00 · 2020-06-22 16:29:11 +03:00 · 2020-06-22 16:00:18 +03:00 · 2020-06-22 15:29:15 +03:00
563 changed files with 20791 additions and 27384 deletions
--- a/.drone.yml
+++ b/.drone.yml
@ -1,83 +0,0 @@
 ---
 kind: pipeline
 type: docker
 name: buildqpms-alpine-preinstlibs
 workspace:
  path: /home/qpmsbuild/qpms
 # don't run in master until the python/lapacke linking problem is resolved
 trigger:
  branch:
    exclude: 
      - master
 steps:
 - name: chown
  image: qpms/buildenv/alpine/pkgdnumlib
  pull: never
  commands:
    - chown -R qpmsbuild.qpmsbuild .
 - name: submodules
  image: qpms/buildenv/alpine/pkgdnumlib
  pull: never
  user: qpmsbuild
  commands:
    - git submodule init
    - git submodule update
 - name: build
  image: qpms/buildenv/alpine/pkgdnumlib
  pull: never
  user: qpmsbuild
  commands:
  - cmake -DCMAKE_INSTALL_PREFIX=$HOME/.local .
  - make install
  - export LIBRARY_PATH=$HOME/.local/lib
  - python3 setup.py install --user
  - cd examples/rectangular/modes
  - pip3 install --user matplotlib #needed to run the example
  - export LD_LIBRARY_PATH=$HOME/.local/lib
  - ./01a_realfreq_svd.sh
 ---
 kind: pipeline
 type: docker
 name: buildqpms-debian-preinstlibs
 workspace:
  path: /home/qpmsbuild/qpms
 steps:
 - name: chown
  image: qpms/buildenv/debian/pkgdnumlib
  pull: never
  commands:
    - chown -R qpmsbuild.qpmsbuild .
 - name: submodules
  image: qpms/buildenv/debian/pkgdnumlib
  pull: never
  user: qpmsbuild
  commands:
    - git submodule init
    - git submodule update
 - name: build
  image: qpms/buildenv/debian/pkgdnumlib
  pull: never
  user: qpmsbuild
  commands:
  - cmake -DCMAKE_INSTALL_PREFIX=/home/qpmsbuild/.local .
  - make install
  - export LIBRARY_PATH=$HOME/.local/lib
  - python3 setup.py install --user
  - pip3 install --user matplotlib #needed to run the examples
  - export LD_LIBRARY_PATH=$HOME/.local/lib
  - cd examples/rectangular/modes
  - ./01a_realfreq_svd.sh
  - cd -
  - cd examples/hexagonal/modes
  #- ./01a_realfreq_svd.sh 
  #- ./01_compute_modes.sh 
  #- ./02b_compute_disp_0M.sh 
  #- ./02_compute_disp.sh 
  #- ./02x_compute_disp.sh
--- a/.gitignore
+++ b/.gitignore
@ -5,29 +5,4 @@
 *.pdf
 *.o
 docs/*
 qpms/qpms_c.c
 qpms/cy*.c
 CMakeCache.txt
 CMakeFiles/*
 faddeeva/*
 qpms/CMakeFiles/*
 qpms/libqpms.so
 qpms/cmake_install.cmake
 qpms_version.c
 qpms.egg_info/*
 dist/*
 build/*
 Makefile
 CTestTestfile.cmake
 amos/CMakeFiles/*
 amos/Makefile
 amos/amos_mangling.h
 cmake_install.cmake
 cython_debug/*
 qpms.egg-info/*
 tests/CmakeFiles/*
 tests/cmake_install.cmake
 tests/CMakeFiles/*
--- a/.gitmodules
+++ b/.gitmodules
@ -1,4 +0,0 @@
 [submodule "camos"]
 	path = camos
 	url = https://codeberg.org/QPMS/zbessel.git
 	branch = purec
--- a/CLIUTILS.md
+++ b/CLIUTILS.md
@ -1,43 +0,0 @@
 Overview of QPMS command line utilities
 =======================================
 The utilities are located in the `misc` directory. Run the
 utility with `-h` argument to get more info.
 Rectangular and square 2D lattices
 ----------------------------------
 These scripts deal with simple 2D rectangular lattices,
 finite or infinite, one scatterer per unit cell. 
 \f$ D_{2h} \f$ or \f$ D_{4h} \f$ symmetric adapted bases
 are used where applicable.
 ### Finite lattices
 * `finiterectlat-modes.py`:  Search for resonances using Beyn's algorithm.
 * `finiterectlat-scatter.py`:  Plane wave scattering.
 * `finiterectlat-constant-driving.py`: Rectangular array response to
   a driving where a subset of particles are excited by basis VSWFs with the
   same phase.
 ### Infinite lattices
 * `rectlat_simple_modes.py`: Search for lattice modes using Beyn's algorithm.
 * `infiniterectlat-k0realfreqsvd.py`: 
    Evaluate the lattice mode problem singular values at the Γ point for a real frequency interval.
    Useful as a starting point in lattice mode search before using Beyn's algorithm.
 * `infiniterectlat-scatter.py`: Plane wave scattering.
 General 2D lattices
 -------------------
 ### Infinite lattices
 These can contain several scatterers per unit cell. Symmetry adapted bases currently not implemented.
 * `lat2d_modes.py`: Search for lattice modes using Beyn's algorithm.
 * `lat2d_realfreqsvd.py`: 
    Evaluate the lattice mode problem singular values at the Γ point for a real frequency interval.
    Useful as a starting point in lattice mode search before using Beyn's algorithm.
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@ -1,16 +1,10 @@
 cmake_minimum_required(VERSION 3.0.2)
 option(QPMS_USE_FORTRAN_AMOS "Use the original AMOS Fortran libraries instead of the C ones" OFF)
 if (QPMS_USE_FORTRAN_AMOS)
 include(CMakeAddFortranSubdirectory)
 endif (QPMS_USE_FORTRAN_AMOS)
 include(version.cmake)
 include(GNUInstallDirs)
 project (QPMS)
-list(APPEND CMAKE_MODULE_PATH "${CMAKE_CURRENT_SOURCE_DIR}/cmake/")
+set(CMAKE_BUILD_TYPE Debug)
 macro(use_c99)
  if (CMAKE_VERSION VERSION_LESS "3.1")
@ -29,27 +23,9 @@ set(CMAKE_POSITION_INDEPENDENT_CODE ON)
 set (QPMS_VERSION_MAJOR 0)
 #set (QPMS_VERSION_MINOR 3)
-
+cmake_add_fortran_subdirectory (amos
 if (QPMS_USE_FORTRAN_AMOS)
 	cmake_add_fortran_subdirectory (amos
 	PROJECT amos
 	LIBRARIES amos
 	NO_EXTERNAL_INSTALL)
 	set(QPMS_AMOSLIB amos)
 else (QPMS_USE_FORTRAN_AMOS)
 	set(CAMOS_BUILD_STATIC ON)
 	add_subdirectory (camos)
 	set(QPMS_AMOSLIB camos)
 endif (QPMS_USE_FORTRAN_AMOS)
 set(FADDEEVA_BUILD_STATIC ON)
 add_subdirectory(faddeeva)
 add_subdirectory (qpms)
 enable_testing()
 add_subdirectory (tests EXCLUDE_FROM_ALL)
 #add_subdirectory (apps/transop-ewald)
--- a/COPYING.md
+++ b/COPYING.md
@ -1,675 +0,0 @@
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 ### How to Apply These Terms to Your New Programs
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 possible use to the public, the best way to achieve this is to make it
 free software which everyone can redistribute and change under these
 terms.
 To do so, attach the following notices to the program. It is safest to
 attach them to the start of each source file to most effectively state
 the exclusion of warranty; and each file should have at least the
 "copyright" line and a pointer to where the full notice is found.
        <one line to give the program's name and a brief idea of what it does.>
        Copyright (C) <year>  <name of author>
        This program is free software: you can redistribute it and/or modify
        it under the terms of the GNU General Public License as published by
        the Free Software Foundation, either version 3 of the License, or
        (at your option) any later version.
        This program is distributed in the hope that it will be useful,
        but WITHOUT ANY WARRANTY; without even the implied warranty of
        MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
        GNU General Public License for more details.
        You should have received a copy of the GNU General Public License
        along with this program.  If not, see <https://www.gnu.org/licenses/>.
 Also add information on how to contact you by electronic and paper
 mail.
 If the program does terminal interaction, make it output a short
 notice like this when it starts in an interactive mode:
        <program>  Copyright (C) <year>  <name of author>
        This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
        This is free software, and you are welcome to redistribute it
        under certain conditions; type `show c' for details.
 The hypothetical commands \`show w' and \`show c' should show the
 appropriate parts of the General Public License. Of course, your
 program's commands might be different; for a GUI interface, you would
 use an "about box".
 You should also get your employer (if you work as a programmer) or
 school, if any, to sign a "copyright disclaimer" for the program, if
 necessary. For more information on this, and how to apply and follow
 the GNU GPL, see <https://www.gnu.org/licenses/>.
 The GNU General Public License does not permit incorporating your
 program into proprietary programs. If your program is a subroutine
 library, you may consider it more useful to permit linking proprietary
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--- a/6
+++ b/6
@ -51,7 +51,7 @@ PROJECT_BRIEF          = "Electromagnetic multiple scattering library and toolki
 # and the maximum width should not exceed 200 pixels. Doxygen will copy the logo
 # to the output directory.
-PROJECT_LOGO           = farfield.png
+PROJECT_LOGO           =
 # The OUTPUT_DIRECTORY tag is used to specify the (relative or absolute) path
 # into which the generated documentation will be written. If a relative path is
@ -753,7 +753,7 @@ WARN_LOGFILE           =
 # spaces.
 # Note: If this tag is empty the current directory is searched.
-INPUT                  = qpms notes misc finite_systems.md MIRRORS.md CLIUTILS.md README.md README.Triton.md finite_systems.md lattices.md TODO.md
+INPUT                  = qpms notes finite_systems.md README.md README.Triton.md finite_systems.md lattices.md TODO.md
 # This tag can be used to specify the character encoding of the source files
 # that doxygen parses. Internally doxygen uses the UTF-8 encoding. Doxygen uses
@ -1462,7 +1462,7 @@ MATHJAX_FORMAT         = HTML-CSS
 # The default value is: http://cdn.mathjax.org/mathjax/latest.
 # This tag requires that the tag USE_MATHJAX is set to YES.
-MATHJAX_RELPATH        = https://uslugi.necada.org/js/mathjax
+MATHJAX_RELPATH        = http://cdn.mathjax.org/mathjax/latest
 # The MATHJAX_EXTENSIONS tag can be used to specify one or more MathJax
 # extension names that should be enabled during MathJax rendering. For example
--- a/MIRRORS.md
+++ b/MIRRORS.md
@ -1,14 +0,0 @@
 QPMS source code mirrors
 ========================
 QPMS source code is available at several locations; in all of the following,
 upstream `master` branch is kept up-to-date. Various development branches
 are not necessarily pushed everywhere (and they should be considered
 unstable in the sense that rebases and forced pushes are possible).
 mirror                                          | note                    | provider                                          | backend
 ----------------------------------------------- | ----------------------- | ------------------------------------------------- | ------
 <https://repo.or.cz/qpms.git>                   | primary public upstream | [repo.or.cz](https://repo.or.cz/)                 | girocco
 <https://codeberg.org/QPMS/qpms>                |                         | [Codeberg](https://codeberg.org)                  | gitea
 <https://git.piraattipuolue.fi/QPMS/qpms.git>   |                         | [Pirate Party Finland](https://piraattipuolue.fi) | gitea
 <https://version.aalto.fi/gitlab/qpms/qpms.git> |                         | [Aalto University](https://aalto.fi)              | gitlab 
--- a/README.md
+++ b/README.md
@ -1,14 +1,10 @@
 [![Build Status](https://drone.perkele.eu/api/badges/QPMS/qpms/status.svg)](https://drone.perkele.eu/QPMS/qpms)
 QPMS README
 ===========
-[QPMS][homepage] (standing for QPMS Photonic Multiple Scattering) 
+QPMS is a toolkit for frequency-domain simulations of photonic systems
 is a toolkit for frequency-domain simulations of photonic systems
 consisting of compact objects (particles) inside a homogeneous medium. Scattering
 properties of the individual particles are described by their T-matrices
-(which can be obtained using one of the built-in generators or
+(which can be obtained e.g. with the `scuff-tmatrix` tool from 
 e.g. with the `scuff-tmatrix` tool from 
 the [SCUFF-EM] suite).
 QPMS handles the multiple scattering of electromagnetic radiation between 
@ -16,39 +12,26 @@ the particles. The system can consist either of a finite number of particles
 or an infinite number of periodically arranged lattices (with finite number
 of particles in a single unit cell).
 Features
 ========
 Finite systems
 --------------
- * Computing multipole excitations and fields scattered from nanoparticle
+ * Computing multipole excitations *and fields (TODO)* scattered from nanoparticle
   clusters illuminated by plane, spherical or *cylindrical (TODO)* waves.
- * Finding eigenmodes (optical resonances).
+ * Finding eigenmodes.
- * Calculating cross sections.
+ * *Calculating cross sections (TODO).*
 * Reducing numerical complexity of the computations by exploiting
   symmetries of the cluster (decomposition to irreducible representations).
 Infinite systems (lattices)
 ---------------------------
- * 2D-periodic systems with arbitrary unit cell geometry supported. (TODO 1D and 3D.)
+ * 2D-periodic systems supported. (TODO 1D and 3D.)
- * Computing multipole excitations and fields scattered from nanoparticle
+ * *Calculation of transmission and reflection properties (TODO).*
 * Finding eigenmodes and calculating dispersion relations.
- * Calculation of the scattered fields.
+ * *Calculation of far-field radiation patterns of an excited array (TODO).*
- * *Calculation of total transmission and reflection properties (TODO).*
+ * Reducing numerical complexity of the computations by exploiting
- * *Reducing numerical complexity of the computations by exploiting
+   symmetries of the lattice (decomposition to irreducible representations).
   symmetries of the lattice (decomposition to irreducible representations) (in development).* 
 Getting the code
 ================
 The codebase is available at the main upstream public repository
 <https://repo.or.cz/qpms.git> or any of the [maintained mirrors][MIRRORS].
 Just clone the repository with `git` and proceed to the installation instructions
 below.
 Installation
@ -64,49 +47,30 @@ you can [get the source and compile it yourself][GSL].
 You also need a fresh enough version of [cmake][].
-QPMS uses a C version of the Amos library for calculating Bessel function
+After GSL is installed, you can install qpms to your local python library using::
 from a submodule. Before proceeding with running `cmake`, the submodules
 need to be downloaded first (in the QPMS source root directory):
 ```{.sh}
-  git submodule init
+  cmake .
-  git submodule update
+  make amos
 ```
 After GSL is installed and submodules updated, you can install qpms to your local python library using
 ```{.sh}
  cmake -DCMAKE_INSTALL_PREFIX=${YOUR_PREFIX} .
  make install
  python3 setup.py install --user
 ```
 Above, replace `${YOUR_PREFIX}` with the path to where you want to install the shared library;
 you will also need to make sure that the linker can find it;
 on Linux, this means the path `${YOUR_PREFIX}/lib` is included in your
 `LIBRARY_PATH` and `LD_LIBRARY_PATH` environment variables. The same applies
 to the GSL and OpenBLAS dependencies: they must be installed where the
 installation scripts and linker can find them (setting the `C_INCLUDE_PATH` environment
 variable might be necessary as well).
-Special care might need to be taken when installing QPMS in cluster environments.
+If GSL is not installed the standard library path on your system, you might 
 need to pass it to the installation script using the
 `LIBRARY_PATH` and `LD_LIBRARY_PATH` environment
 variables.
 Special care has often be taken when installing QPMS in cluster environments.
 Specific installation instructions for Aalto University's Triton cluster
 can be found in a [separate document][TRITON-README].
 Instructions for installation on Android-based devices are
 in [another document][INSTALL-ANDROID].
 Documentation
 =============
-[QPMS documentation][homepage] is a work in progress. Most of the newer code
+Documentation of QPMS is a work in progress. Most of the newer code
-is documented using [doxygen][] comments. Documentation generated for the
+is documented using [doxygen][] comments. To build the documentation, just run
 upstream version is hosted on the QPMS homepage <https://qpms.necada.org>.
 To build the documentation yourself, 
 just run
 `doxygen`
-in the QPMS source root directory; the documentation will then be found in 
+in the root directory; the documentation will then be found in 
 `docs/html/index.html`.
 Of course, the prerequisite of this is having doxygen installed.
@ -118,77 +82,14 @@ under root.
 Tutorials
 ---------
  * [Infinite system (lattice) tutorial][tutorial-infinite]
  * [Finite system tutorial][tutorial-finite]
 See also the examples directory in the source repository.
 Command line utilities
 ----------------------
  * [Overview of the Python command line utilities][cliutils]
 Acknowledgments
 ================
 This software has been developed in the [Quantum Dynamics research group][QD],
 Aalto University, Finland. If you use the code in your work, please cite 
 **M. Nečada and P. Törmä, Multiple-scattering T-matrix simulations for nanophotonics: symmetries and periodic lattices, [arXiv: 2006.12968][lepaper] (2020)**
 in your publications, presentations, and similar. 
 Please also have a look at other publications by the group 
 (google scholar Päivi Törmä), they may be useful for your work as well. 
 Bug reports
 ===========
 If you believe that some parts of QPMS behave incorrectly, please mail
 a bug report to [marek@necada.org][authormail]. To ensure that your message is not
 considered spam, please start the subject line with `QPMS`.
 If you were able to fix a bug yourself, please include the patch as well,
 see below.
 Contributions
 =============
 Contributions to QPMS are welcome, be it bug fixes, improvements to the
 documentation, code quality, or new features.
 You can send patches prepared using the 
 [`git format-patch`](https://git-scm.com/docs/git-format-patch) tool
 to [marek@necada.org][authormail].
 If you plan to contribute with major changes to the codebase, it is 
 recommended to discuss that first (see the contact information below).
 Contact & discussion
 ====================
 You can contact the main author e.g. via [e-mail][authormail]
 or [Telegram](https://t.me/necadam).
 You are also warmly welcome to the [QPMS user chat][telegramchat]
 in Telegram!
 [homepage]: https://qpms.necada.org
 [SCUFF-EM]: https://homerreid.github.io/scuff-em-documentation/
 [OpenBLAS]: https://www.openblas.net/
 [GSL]: https://www.gnu.org/software/gsl/
 [cmake]: https://cmake.org
 [TRITON-README]: README.Triton.md
 [INSTALL-ANDROID]: notes/INSTALL_ANDROID.md
 [tutorial-finite]: finite_systems.md
 [tutorial-infinite]: lattices.md
 [doxygen]: http://doxygen.nl/
 [QD]: https://www.aalto.fi/en/department-of-applied-physics/quantum-dynamics-qd
 [lepaper]: https://arxiv.org/abs/2006.12968
 [telegramchat]: https://t.me/QPMScattering
 [authormail]: mailto:marek@necada.org
 [cliutils]: CLIUTILS.md
 [MIRRORS]: MIRRORS.md
--- a/TODO.md
+++ b/TODO.md
@ -1,12 +1,11 @@
-TODO list before 1.0 release
+TODO list before public release
-============================
+===============================
 - Tests!
 - Docs!
- Cross section calculations. (Done in some Python scripts.)
+- Cross section calculations.
- Field calculations. (Partly done, needs more testing.)
+- Field calculations.
-  * Also test periodic vs. nonperiodic consistence (big finite lattice + absorbing medium vs. infinite lattice + absorbing medium).
+- Complex frequencies, n's, k's.
 - Complex frequencies, n's, k's. (Mostly done.)
 - Transforming point (meta)generators.
 - Check whether moble's quaternions and my 
  quaternions give the same results in tmatrices.py
@ -25,12 +24,8 @@ TODO list before 1.0 release
  * As a description of a T-matrix / particle metadata.
 - Nice CLI for all general enough utilities.
 - Remove legacy code.
- Split `qpms_c.pyx`.
+- Split qpms_c.pyx.
 - Reduce compiler warnings.
 - Serialisation (saving, loading) of `ScatteringSystem` and other structures.
 - Python exceptions instead of hard crashes in the C library where possible.
 - Scatsystem init sometimes fail due to rounding errors and hardcoded absolute tolerance 
  in the `qpms_tmatrix_isclose()` call.
 - Prefix all identifiers. Maybe think about a different prefix than qpms?
 - Consistent indentation and style overall.
 - Rewrite the parallelized translation matrix, mode problem matrix generators
@ -41,16 +36,3 @@ Nice but less important features
 - Static, thread-safe caches of constant coefficients + API without the current "calculators".
 Optimisations
 -------------
 - Leaving out the irrelevant elements if a "rectangular" block of the translations matrix is needed.
 - Ewald sums with "non-parallel" shifts (are about 20 times slower than the purely parallel ones).
 - Reusing intermediate results (profiling needed)
  * Bessel, Legendre functions (see also branch `finite_lattice_speedup`)
  * Lattice points (sorting and scaling)
  * Γ/Δ functions (for periodic lattices)
 - More parallelisation.
 - Possibly pre-calculation of the (precise) coefficients in Bessel and Legendre functions (using gmp)
 - Asymptotic approximations of the Bessel functions for far fields.
--- a/amos/camos.h
+++ b/amos/camos.h
@ -1,30 +0,0 @@
 #ifndef CAMOS_H_
 #define CAMOS_H_
 #include "amos.h"
 // TODO what about all the INTEGER_t and DOUBLE_PRECISION_t?
 static inline int camos_zbesh(double zr, double zi, double fnu, int kode, int m,
          int n, double *cyr, double *cyi, int *nz) {
 	int ierr;
 	amos_zbesh(&zr, &zi, &fnu, &kode, &m, &n, cyr, cyi, nz, &ierr);
 	return ierr;
 }
 static inline int camos_zbesj(double zr, double zi, double fnu, int kode, int n, double *cyr,
          double *cyi, int *nz) {
 	int ierr;
 	double cwrkr[n], cwrki[n];
 	amos_zbesj(&zr, &zi, &fnu, &kode, &n, cyr, cyi, nz, &ierr);
 	return ierr;
 }
 static inline int camos_zbesy(double zr, double zi, double fnu, int kode, int n, double *cyr,
          double *cyi, int *nz, double *cwrkr, double *cwrki) {
 	int ierr;
 	amos_zbesy(&zr, &zi, &fnu, &kode, &n, cyr, cyi, nz, cwrkr, cwrki, &ierr);
 	return ierr;
 }
 #endif // CAMOS_H_
--- a/besseltransforms/2-1-0
+++ b/besseltransforms/2-1-0
--- a/besseltransforms/2-1-1
+++ b/besseltransforms/2-1-1
--- a/besseltransforms/2-1-2
+++ b/besseltransforms/2-1-2
--- a/besseltransforms/2-1-3
+++ b/besseltransforms/2-1-3
@ -1,2 +0,0 @@
 ((k^2*(-3 + Sqrt[1 + k^2/(c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2)/Sqrt[1 + k^2/(c - I*k0)^2] - (2*(k^2*(-3 + Sqrt[1 + k^2/(2*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2))/Sqrt[1 + k^2/(2*c - I*k0)^2] + (k^2*(-3 + Sqrt[1 + k^2/(3*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2)/Sqrt[1 + k^2/(3*c - I*k0)^2])/(k^3*k0)
 SeriesData[k, Infinity, {(8*c^2)/(k*k0), (-15*(2*c^3 - I*c^2*k0))/(k*k0), 0, (35*(18*c^5 - (25*I)*c^4*k0 - 12*c^3*k0^2 + (2*I)*c^2*k0^3))/(4*k*k0), 0, (63*(-138*c^7 + (301*I)*c^6*k0 + 270*c^5*k0^2 - (125*I)*c^4*k0^3 - 30*c^3*k0^4 + (3*I)*c^2*k0^5))/(8*k*k0), 0, (165*(3110*c^9 - (9075*I)*c^8*k0 - 11592*c^7*k0^2 + (8428*I)*c^6*k0^3 + 3780*c^5*k0^4 - (1050*I)*c^4*k0^5 - 168*c^3*k0^6 + (12*I)*c^2*k0^7))/(64*k*k0)}, 2, 11, 1]
--- a/besseltransforms/2-1-4
+++ b/besseltransforms/2-1-4
@ -1,2 +0,0 @@
 ((k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4)/(Sqrt[1 + k^2/(c - I*k0)^2]*(c - I*k0)) - (2*(k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4))/(Sqrt[1 + k^2/(2*c - I*k0)^2]*(2*c - I*k0)) + (k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4)/(Sqrt[1 + k^2/(3*c - I*k0)^2]*(3*c - I*k0)))/(k^4*k0)
 SeriesData[k, Infinity, {(15*c^2)/(k*k0), (-48*(2*c^3 - I*c^2*k0))/(k*k0), (35*(25*c^4 - (24*I)*c^3*k0 - 6*c^2*k0^2))/(4*k*k0), 0, (-21*(301*c^6 - (540*I)*c^5*k0 - 375*c^4*k0^2 + (120*I)*c^3*k0^3 + 15*c^2*k0^4))/(8*k*k0), 0, (-99*(-3025*c^8 + (7728*I)*c^7*k0 + 8428*c^6*k0^2 - (5040*I)*c^5*k0^3 - 1750*c^4*k0^4 + (336*I)*c^3*k0^5 + 28*c^2*k0^6))/(64*k*k0), 0, (-143*(28501*c^10 - (93300*I)*c^9*k0 - 136125*c^8*k0^2 + (115920*I)*c^7*k0^3 + 63210*c^6*k0^4 - (22680*I)*c^5*k0^5 - 5250*c^4*k0^6 + (720*I)*c^3*k0^7 + 45*c^2*k0^8))/(128*k*k0)}, 2, 11, 1]
--- a/besseltransforms/2-1-5
+++ b/besseltransforms/2-1-5
@ -1,2 +0,0 @@
 ((k^4*(-5 + Sqrt[1 + k^2/(c - I*k0)^2]) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 16*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4)/Sqrt[1 + k^2/(c - I*k0)^2] - (2*(k^4*(-5 + Sqrt[1 + k^2/(2*c - I*k0)^2]) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4))/Sqrt[1 + k^2/(2*c - I*k0)^2] + (k^4*(-5 + Sqrt[1 + k^2/(3*c - I*k0)^2]) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 16*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4)/Sqrt[1 + k^2/(3*c - I*k0)^2])/(k^5*k0)
 SeriesData[k, Infinity, {(24*c^2)/(k*k0), (-105*(2*c^3 - I*c^2*k0))/(k*k0), (32*(25*c^4 - (24*I)*c^3*k0 - 6*c^2*k0^2))/(k*k0), (-315*(18*c^5 - (25*I)*c^4*k0 - 12*c^3*k0^2 + (2*I)*c^2*k0^3))/(4*k*k0), 0, (231*(138*c^7 - (301*I)*c^6*k0 - 270*c^5*k0^2 + (125*I)*c^4*k0^3 + 30*c^3*k0^4 - (3*I)*c^2*k0^5))/(8*k*k0), 0, (429*(-3110*c^9 + (9075*I)*c^8*k0 + 11592*c^7*k0^2 - (8428*I)*c^6*k0^3 - 3780*c^5*k0^4 + (1050*I)*c^4*k0^5 + 168*c^3*k0^6 - (12*I)*c^2*k0^7))/(64*k*k0)}, 2, 11, 1]
--- a/besseltransforms/2-1-6
+++ b/besseltransforms/2-1-6
@ -1,2 +0,0 @@
 ((k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6)/(Sqrt[1 + k^2/(c - I*k0)^2]*(c - I*k0)) - (2*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6))/(Sqrt[1 + k^2/(2*c - I*k0)^2]*(2*c - I*k0)) + (k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6)/(Sqrt[1 + k^2/(3*c - I*k0)^2]*(3*c - I*k0)))/(k^6*k0)
 SeriesData[k, Infinity, {(35*c^2)/(k*k0), (-192*(2*c^3 - I*c^2*k0))/(k*k0), (315*(25*c^4 - (24*I)*c^3*k0 - 6*c^2*k0^2))/(4*k*k0), (-320*(18*c^5 - (25*I)*c^4*k0 - 12*c^3*k0^2 + (2*I)*c^2*k0^3))/(k*k0), (231*(301*c^6 - (540*I)*c^5*k0 - 375*c^4*k0^2 + (120*I)*c^3*k0^3 + 15*c^2*k0^4))/(8*k*k0), 0, (429*(-3025*c^8 + (7728*I)*c^7*k0 + 8428*c^6*k0^2 - (5040*I)*c^5*k0^3 - 1750*c^4*k0^4 + (336*I)*c^3*k0^5 + 28*c^2*k0^6))/(64*k*k0), 0, (429*(28501*c^10 - (93300*I)*c^9*k0 - 136125*c^8*k0^2 + (115920*I)*c^7*k0^3 + 63210*c^6*k0^4 - (22680*I)*c^5*k0^5 - 5250*c^4*k0^6 + (720*I)*c^3*k0^7 + 45*c^2*k0^8))/(128*k*k0)}, 2, 11, 1]
--- a/besseltransforms/2-1-7
+++ b/besseltransforms/2-1-7
@ -1,2 +0,0 @@
 ((k^6*(-7 + Sqrt[1 + k^2/(c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6)/Sqrt[1 + k^2/(c - I*k0)^2] - (2*(k^6*(-7 + Sqrt[1 + k^2/(2*c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6))/Sqrt[1 + k^2/(2*c - I*k0)^2] + (k^6*(-7 + Sqrt[1 + k^2/(3*c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6)/Sqrt[1 + k^2/(3*c - I*k0)^2])/(k^7*k0)
 SeriesData[k, Infinity, {(48*c^2)/(k*k0), (-315*(2*c^3 - I*c^2*k0))/(k*k0), (160*(25*c^4 - (24*I)*c^3*k0 - 6*c^2*k0^2))/(k*k0), (-3465*(18*c^5 - (25*I)*c^4*k0 - 12*c^3*k0^2 + (2*I)*c^2*k0^3))/(4*k*k0), (128*(301*c^6 - (540*I)*c^5*k0 - 375*c^4*k0^2 + (120*I)*c^3*k0^3 + 15*c^2*k0^4))/(k*k0), (3003*(-138*c^7 + (301*I)*c^6*k0 + 270*c^5*k0^2 - (125*I)*c^4*k0^3 - 30*c^3*k0^4 + (3*I)*c^2*k0^5))/(8*k*k0), 0, (2145*(3110*c^9 - (9075*I)*c^8*k0 - 11592*c^7*k0^2 + (8428*I)*c^6*k0^3 + 3780*c^5*k0^4 - (1050*I)*c^4*k0^5 - 168*c^3*k0^6 + (12*I)*c^2*k0^7))/(64*k*k0)}, 2, 11, 1]
--- a/besseltransforms/2-2-0
+++ b/besseltransforms/2-2-0
--- a/besseltransforms/2-2-1
+++ b/besseltransforms/2-2-1
@ -1,2 +0,0 @@
 ((-2*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0))/k + ((-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0))/k + (Sqrt[Pi]*(Piecewise[{{0, k^2/k0^2 <= 1}}, (2*Sqrt[k^2 - k0^2])/(k*Sqrt[Pi])] + I*Piecewise[{{(2*k0)/(k*Sqrt[Pi]), k0^2/k^2 < 1}, {(2*(k0 - Sqrt[-k^2 + k0^2]))/(k*Sqrt[Pi]), k0^2/k^2 > 1}}, 0]))/2)/k0^2
 Piecewise[{{SeriesData[k, Infinity, {c^2/k0^2, 0, (3*c^2)/2 - (7*c^4)/(4*k0^2) + ((3*I)*c^3)/k0, 0, (31*c^6 - (90*I)*c^5*k0 - 105*c^4*k0^2 + (60*I)*c^3*k0^3 + 15*c^2*k0^4)/(8*k0^2), 0, (-5*(127*c^8 - (504*I)*c^7*k0 - 868*c^6*k0^2 + (840*I)*c^5*k0^3 + 490*c^4*k0^4 - (168*I)*c^3*k0^5 - 28*c^2*k0^6))/(64*k0^2), 0, (7*(511*c^10 - (2550*I)*c^9*k0 - 5715*c^8*k0^2 + (7560*I)*c^7*k0^3 + 6510*c^6*k0^4 - (3780*I)*c^5*k0^5 - 1470*c^4*k0^6 + (360*I)*c^3*k0^7 + 45*c^2*k0^8))/(128*k0^2)}, 2, 11, 1], (k0 <= 0 && k^2/k0^2 > 1) || k0 > 0}}, SeriesData[k, Infinity, {-k0^(-2), 0, (2*c^2 + k0^2)/(2*k0^2), 0, ((c*(c - I*k0)^3)/4 - (c*(2*c - I*k0)^3)/4 - I/4*(c - I*k0)^3*k0 + I/8*(2*c - I*k0)^3*k0)/k0^2, 0, (-(c*(c - I*k0)^5)/8 + (c*(2*c - I*k0)^5)/8 + I/8*(c - I*k0)^5*k0 - I/16*(2*c - I*k0)^5*k0)/k0^2, 0, ((5*c*(c - I*k0)^7)/64 - (5*c*(2*c - I*k0)^7)/64 - (5*I)/64*(c - I*k0)^7*k0 + (5*I)/128*(2*c - I*k0)^7*k0)/k0^2, 0, ((-7*c*(c - I*k0)^9)/128 + (7*c*(2*c - I*k0)^9)/128 + (7*I)/128*(c - I*k0)^9*k0 - (7*I)/256*(2*c - I*k0)^9*k0)/k0^2}, 0, 11, 1]]
--- a/besseltransforms/2-2-2
+++ b/besseltransforms/2-2-2
@ -1,2 +0,0 @@
 (-1 + (4*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2)/k^2 - (2*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2)/k^2 + Sqrt[Pi]*(I*Piecewise[{{0, k^2/k0^2 <= 1}}, (2*k0*Sqrt[k^2 - k0^2])/(k^2*Sqrt[Pi])] + Piecewise[{{(k^2 + 2*k0*(-k0 + Sqrt[-k^2 + k0^2]))/(k^2*Sqrt[Pi]), k^2/k0^2 < 1}, {(1 - (2*k0^2)/k^2)/Sqrt[Pi], k^2/k0^2 > 1}}, 0]))/(2*k0^2)
 SeriesData[k, Infinity, {(2*c^2)/k0^2, (-3*(c^3 - I*c^2*k0))/k0^2, 0, (5*(3*c^5 - (7*I)*c^4*k0 - 6*c^3*k0^2 + (2*I)*c^2*k0^3))/(4*k0^2), 0, (-7*(9*c^7 - (31*I)*c^6*k0 - 45*c^5*k0^2 + (35*I)*c^4*k0^3 + 15*c^3*k0^4 - (3*I)*c^2*k0^5))/(8*k0^2), 0, (15*(85*c^9 - (381*I)*c^8*k0 - 756*c^7*k0^2 + (868*I)*c^6*k0^3 + 630*c^5*k0^4 - (294*I)*c^4*k0^5 - 84*c^3*k0^6 + (12*I)*c^2*k0^7))/(64*k0^2)}, 2, 11, 1]
--- a/besseltransforms/2-2-3
+++ b/besseltransforms/2-2-3
@ -1,2 +0,0 @@
 (k^2*(-3 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 4*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 - 2*k^2*(-3 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) - 8*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + k^2*(-3 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 4*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3)/(3*k^3*k0^2)
 SeriesData[k, Infinity, {(3*c^2)/k0^2, (-16*c^3)/k0^2 + ((8*I)*c^2)/k0, (-15*c^2)/2 + (125*c^4)/(4*k0^2) - ((30*I)*c^3)/k0, 0, (-7*(301*c^6 - (540*I)*c^5*k0 - 375*c^4*k0^2 + (120*I)*c^3*k0^3 + 15*c^2*k0^4))/(24*k0^2), 0, (9*(3025*c^8 - (7728*I)*c^7*k0 - 8428*c^6*k0^2 + (5040*I)*c^5*k0^3 + 1750*c^4*k0^4 - (336*I)*c^3*k0^5 - 28*c^2*k0^6))/(64*k0^2), 0, (-11*(28501*c^10 - (93300*I)*c^9*k0 - 136125*c^8*k0^2 + (115920*I)*c^7*k0^3 + 63210*c^6*k0^4 - (22680*I)*c^5*k0^5 - 5250*c^4*k0^6 + (720*I)*c^3*k0^7 + 45*c^2*k0^8))/(128*k0^2)}, 2, 11, 1]
--- a/besseltransforms/2-2-4
+++ b/besseltransforms/2-2-4
@ -1,2 +0,0 @@
 -(2*k^2*(-2 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 4*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 2*k^2*(-2 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 4*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4)/(2*k^4*k0^2)
 SeriesData[k, Infinity, {(4*c^2)/k0^2, (-30*c^3)/k0^2 + ((15*I)*c^2)/k0, -24*c^2 + (100*c^4)/k0^2 - ((96*I)*c^3)/k0, 105*c^3 - (315*c^5)/(2*k0^2) + ((875*I)/4*c^4)/k0 - (35*I)/2*c^2*k0, 0, (21*(138*c^7 - (301*I)*c^6*k0 - 270*c^5*k0^2 + (125*I)*c^4*k0^3 + 30*c^3*k0^4 - (3*I)*c^2*k0^5))/(8*k0^2), 0, (-33*(3110*c^9 - (9075*I)*c^8*k0 - 11592*c^7*k0^2 + (8428*I)*c^6*k0^3 + 3780*c^5*k0^4 - (1050*I)*c^4*k0^5 - 168*c^3*k0^6 + (12*I)*c^2*k0^7))/(64*k0^2)}, 2, 11, 1]
--- a/besseltransforms/2-2-5
+++ b/besseltransforms/2-2-5
@ -1,2 +0,0 @@
 (-2*(k^4*(-5 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5) + k^4*(-5 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + k^4*(-5 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5)/(5*k^5*k0^2)
 SeriesData[k, Infinity, {(5*c^2)/k0^2, (-24*(2*c^3 - I*c^2*k0))/k0^2, (35*(25*c^4 - (24*I)*c^3*k0 - 6*c^2*k0^2))/(4*k0^2), (-32*(18*c^5 - (25*I)*c^4*k0 - 12*c^3*k0^2 + (2*I)*c^2*k0^3))/k0^2, (21*(301*c^6 - (540*I)*c^5*k0 - 375*c^4*k0^2 + (120*I)*c^3*k0^3 + 15*c^2*k0^4))/(8*k0^2), 0, ((-165*(c - I*k0)^8)/128 + (165*(2*c - I*k0)^8)/64 - (165*(3*c - I*k0)^8)/128)/(5*k0^2), 0, ((143*(c - I*k0)^10)/256 - (143*(2*c - I*k0)^10)/128 + (143*(3*c - I*k0)^10)/256)/(5*k0^2)}, 2, 11, 1]
--- a/besseltransforms/2-2-6
+++ b/besseltransforms/2-2-6
@ -1,2 +0,0 @@
 (-3*k^4*(-3 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 8*k^2*(3 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 - 16*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6 + 6*k^4*(-3 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*k^2*(-3 + 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 32*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6 - 3*k^4*(-3 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 8*k^2*(3 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 - 16*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6)/(3*k^6*k0^2)
 SeriesData[k, Infinity, {(6*c^2)/k0^2, (-35*(2*c^3 - I*c^2*k0))/k0^2, (16*(25*c^4 - (24*I)*c^3*k0 - 6*c^2*k0^2))/k0^2, (-315*(18*c^5 - (25*I)*c^4*k0 - 12*c^3*k0^2 + (2*I)*c^2*k0^3))/(4*k0^2), (16*(c - I*k0)^6 - 32*(2*c - I*k0)^6 + 16*(3*c - I*k0)^6)/(3*k0^2), ((-99*(c - I*k0)^7)/16 + (99*(2*c - I*k0)^7)/8 - (99*(3*c - I*k0)^7)/16)/(3*k0^2), 0, ((143*(c - I*k0)^9)/128 - (143*(2*c - I*k0)^9)/64 + (143*(3*c - I*k0)^9)/128)/(3*k0^2)}, 2, 11, 1]
--- a/besseltransforms/2-2-7
+++ b/besseltransforms/2-2-7
@ -1,2 +0,0 @@
 (-2*(k^6*(-7 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^7) + k^6*(-7 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^7 + k^6*(-7 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^7)/(7*k^7*k0^2)
 SeriesData[k, Infinity, {(7*c^2)/k0^2, (-48*(2*c^3 - I*c^2*k0))/k0^2, (105*(25*c^4 - (24*I)*c^3*k0 - 6*c^2*k0^2))/(4*k0^2), (-160*(18*c^5 - (25*I)*c^4*k0 - 12*c^3*k0^2 + (2*I)*c^2*k0^3))/k0^2, (231*(301*c^6 - (540*I)*c^5*k0 - 375*c^4*k0^2 + (120*I)*c^3*k0^3 + 15*c^2*k0^4))/(8*k0^2), (-64*(c - I*k0)^7 + 128*(2*c - I*k0)^7 - 64*(3*c - I*k0)^7)/(7*k0^2), ((3003*(c - I*k0)^8)/128 - (3003*(2*c - I*k0)^8)/64 + (3003*(3*c - I*k0)^8)/128)/(7*k0^2), 0, ((-1001*(c - I*k0)^10)/256 + (1001*(2*c - I*k0)^10)/128 - (1001*(3*c - I*k0)^10)/256)/(7*k0^2)}, 2, 11, 1]
--- a/besseltransforms/2-3-0
+++ b/besseltransforms/2-3-0
--- a/besseltransforms/2-3-1
+++ b/besseltransforms/2-3-1
@ -1,9 +0,0 @@
 Integrate[(E^(I*k0*x)*(-1 + E^(-(c*x)))^2*BesselJ[1, k*x])/(k0^3*x^2), {x, 0, Infinity}, Assumptions -> n == 1 && q == 3 && κ == 2]
                                -2 c x + I k0 x        c x 2                                    2  2              4  4              6  6               8  8      Pi                                         2  2               4  4              6  6               8  8      Pi
                             -(E                (-1 + E   )  (8 k x (-14783093325 + 1452971520 k  x  - 309657600 k  x  + 251658240 k  x  + 2147483648 k  x ) Cos[-- + k x] - 3 (156043762875 - 11416204800 k  x  + 1589575680 k  x  - 587202560 k  x  + 2147483648 k  x ) Sin[-- + k x]))
                                                                                                                                                                 4                                                                                                            4
 Integrate::idiv: Integral of ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ does not converge on {0, Infinity}.
                                                                                                                                                    19/2   3             23/2
                                                                                                                                        8589934592 k     k0  Sqrt[2 Pi] x
 Series[Integrate[(E^(I*k0*x)*(-1 + E^(-(c*x)))^2*BesselJ[1, k*x])/(k0^3*x^2), {x, 0, Infinity}, Assumptions -> n == 1 && q == 3 && κ == 2], {k, Infinity, 10}]
--- a/besseltransforms/2-3-2
+++ b/besseltransforms/2-3-2
@ -1,2 +0,0 @@
 (-4*(-3 + 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) - (8*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3)/k^2 + 2*(-3 + 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + (4*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3)/k^2 + 3*k0*Sqrt[Pi]*(Piecewise[{{0, k^2/k0^2 <= 1}}, (4*(k^2 - k0^2)^(3/2))/(3*k^2*k0*Sqrt[Pi])] + I*Piecewise[{{(-2*(2*k0*(k0 - Sqrt[-k^2 + k0^2]) + k^2*(-3 + (2*Sqrt[-k^2 + k0^2])/k0)))/(3*k^2*Sqrt[Pi]), k^2/k0^2 < 1}, {(2*(1 - (2*k0^2)/(3*k^2)))/Sqrt[Pi], k^2/k0^2 > 1}}, 0]))/(12*k0^3)
 SeriesData[k, Infinity, {c^2/k0^3, (-2*(c^3 - I*c^2*k0))/k0^3, (7*c^4 - (12*I)*c^3*k0 - 6*c^2*k0^2)/(4*k0^3), 0, (-31*c^6 + (90*I)*c^5*k0 + 105*c^4*k0^2 - (60*I)*c^3*k0^3 - 15*c^2*k0^4)/(24*k0^3), 0, (127*c^8 - (504*I)*c^7*k0 - 868*c^6*k0^2 + (840*I)*c^5*k0^3 + 490*c^4*k0^4 - (168*I)*c^3*k0^5 - 28*c^2*k0^6)/(64*k0^3), 0, (-511*c^10 + (2550*I)*c^9*k0 + 5715*c^8*k0^2 - (7560*I)*c^7*k0^3 - 6510*c^6*k0^4 + (3780*I)*c^5*k0^5 + 1470*c^4*k0^6 - (360*I)*c^3*k0^7 - 45*c^2*k0^8)/(128*k0^3)}, 1, 11, 1]
--- a/besseltransforms/2-3-3
+++ b/besseltransforms/2-3-3
@ -1,2 +0,0 @@
 (k^2*(3 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 - 2*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 + 2*k^2*(-3 + 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 4*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + k^2*(3 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 - 2*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4)/(6*k^3*k0^3)
 SeriesData[k, Infinity, {c^2/k0^3, (-3*(2*c^3 - I*c^2*k0))/k0^3, (2*(25*c^4 - (24*I)*c^3*k0 - 6*c^2*k0^2))/(3*k0^3), (-5*(18*c^5 - (25*I)*c^4*k0 - 12*c^3*k0^2 + (2*I)*c^2*k0^3))/(4*k0^3), 0, ((c - I*k0)^7/8 - (2*c - I*k0)^7/4 + (3*c - I*k0)^7/8)/(6*k0^3), 0, ((-3*(c - I*k0)^9)/64 + (3*(2*c - I*k0)^9)/32 - (3*(3*c - I*k0)^9)/64)/(6*k0^3), 0, ((3*(c - I*k0)^11)/128 - (3*(2*c - I*k0)^11)/64 + (3*(3*c - I*k0)^11)/128)/(6*k0^3)}, 1, 11, 1]
--- a/besseltransforms/2-3-4
+++ b/besseltransforms/2-3-4
@ -1,2 +0,0 @@
 (-2*(k^4*(-15 + 4*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5) + k^4*(-15 + 4*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + k^4*(-15 + 4*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5)/(60*k^4*k0^3)
 SeriesData[k, Infinity, {c^2/k0^3, (-4*(2*c^3 - I*c^2*k0))/k0^3, (5*(25*c^4 - (24*I)*c^3*k0 - 6*c^2*k0^2))/(4*k0^3), (-4*(18*c^5 - (25*I)*c^4*k0 - 12*c^3*k0^2 + (2*I)*c^2*k0^3))/k0^3, (7*(301*c^6 - (540*I)*c^5*k0 - 375*c^4*k0^2 + (120*I)*c^3*k0^3 + 15*c^2*k0^4))/(24*k0^3), 0, ((-45*(c - I*k0)^8)/32 + (45*(2*c - I*k0)^8)/16 - (45*(3*c - I*k0)^8)/32)/(60*k0^3), 0, ((33*(c - I*k0)^10)/64 - (33*(2*c - I*k0)^10)/32 + (33*(3*c - I*k0)^10)/64)/(60*k0^3)}, 1, 11, 1]
--- a/besseltransforms/2-3-5
+++ b/besseltransforms/2-3-5
@ -1,2 +0,0 @@
 (6*k^4*(5 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 4*k^2*(15 - 11*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6 + 12*k^4*(-5 + 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 8*k^2*(-15 + 11*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6 + 6*k^4*(5 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 4*k^2*(15 - 11*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6)/(60*k^5*k0^3)
 SeriesData[k, Infinity, {c^2/k0^3, (-5*(2*c^3 - I*c^2*k0))/k0^3, (2*(25*c^4 - (24*I)*c^3*k0 - 6*c^2*k0^2))/k0^3, (-35*(18*c^5 - (25*I)*c^4*k0 - 12*c^3*k0^2 + (2*I)*c^2*k0^3))/(4*k0^3), (32*(c - I*k0)^6 - 64*(2*c - I*k0)^6 + 32*(3*c - I*k0)^6)/(60*k0^3), ((-45*(c - I*k0)^7)/4 + (45*(2*c - I*k0)^7)/2 - (45*(3*c - I*k0)^7)/4)/(60*k0^3), 0, ((55*(c - I*k0)^9)/32 - (55*(2*c - I*k0)^9)/16 + (55*(3*c - I*k0)^9)/32)/(60*k0^3), 0, ((-39*(c - I*k0)^11)/64 + (39*(2*c - I*k0)^11)/32 - (39*(3*c - I*k0)^11)/64)/(60*k0^3)}, 1, 11, 1]
--- a/besseltransforms/2-3-6
+++ b/besseltransforms/2-3-6
@ -1,2 +0,0 @@
 (-2*(k^6*(-35 + 6*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^7) + k^6*(-35 + 6*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^7 + k^6*(-35 + 6*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^7)/(210*k^6*k0^3)
 SeriesData[k, Infinity, {c^2/k0^3, (-6*(2*c^3 - I*c^2*k0))/k0^3, (35*(25*c^4 - (24*I)*c^3*k0 - 6*c^2*k0^2))/(12*k0^3), (-16*(18*c^5 - (25*I)*c^4*k0 - 12*c^3*k0^2 + (2*I)*c^2*k0^3))/k0^3, (21*(301*c^6 - (540*I)*c^5*k0 - 375*c^4*k0^2 + (120*I)*c^3*k0^3 + 15*c^2*k0^4))/(8*k0^3), (-160*(c - I*k0)^7 + 320*(2*c - I*k0)^7 - 160*(3*c - I*k0)^7)/(210*k0^3), ((3465*(c - I*k0)^8)/64 - (3465*(2*c - I*k0)^8)/32 + (3465*(3*c - I*k0)^8)/64)/(210*k0^3), 0, ((-1001*(c - I*k0)^10)/128 + (1001*(2*c - I*k0)^10)/64 - (1001*(3*c - I*k0)^10)/128)/(210*k0^3)}, 1, 11, 1]
--- a/besseltransforms/2-3-7
+++ b/besseltransforms/2-3-7
@ -1,2 +0,0 @@
 ((7*k^8 + 24*k^6*(7 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 16*k^4*(42 - 23*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 + 64*k^2*(14 - 11*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6 - 384*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^8)/(336*k^7) - (7*k^8 + 24*k^6*(7 - 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*k^4*(42 - 23*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 64*k^2*(14 - 11*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6 - 384*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^8)/(168*k^7) + (7*k^8 + 24*k^6*(7 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 16*k^4*(42 - 23*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 + 64*k^2*(14 - 11*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6 - 384*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^8)/(336*k^7))/k0^3
 SeriesData[k, Infinity, {c^2/k0^3, (-7*(2*c^3 - I*c^2*k0))/k0^3, (4*(25*c^4 - (24*I)*c^3*k0 - 6*c^2*k0^2))/k0^3, (-105*(18*c^5 - (25*I)*c^4*k0 - 12*c^3*k0^2 + (2*I)*c^2*k0^3))/(4*k0^3), (16*(301*c^6 - (540*I)*c^5*k0 - 375*c^4*k0^2 + (120*I)*c^3*k0^3 + 15*c^2*k0^4))/(3*k0^3), ((-33*(c - I*k0)^7)/16 + (33*(2*c - I*k0)^7)/8 - (33*(3*c - I*k0)^7)/16)/k0^3, ((8*(c - I*k0)^8)/7 - (16*(2*c - I*k0)^8)/7 + (8*(3*c - I*k0)^8)/7)/k0^3, ((-143*(c - I*k0)^9)/384 + (143*(2*c - I*k0)^9)/192 - (143*(3*c - I*k0)^9)/384)/k0^3, 0, ((13*(c - I*k0)^11)/256 - (13*(2*c - I*k0)^11)/128 + (13*(3*c - I*k0)^11)/256)/k0^3}, 1, 11, 1]
--- a/besseltransforms/3-1-0
+++ b/besseltransforms/3-1-0
--- a/besseltransforms/3-1-1
+++ b/besseltransforms/3-1-1
--- a/besseltransforms/3-1-2.REMOVED.git-id
+++ b/besseltransforms/3-1-2.REMOVED.git-id
@ -1 +0,0 @@
 9a2ec0ef6771d8a7db72ddc960cbd1172c4c24e2
--- a/besseltransforms/3-2-0
+++ b/besseltransforms/3-2-0
--- a/besseltransforms/3-2-1
+++ b/besseltransforms/3-2-1
@ -1,2 +0,0 @@
 (-6*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 6*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) - 2*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + k*Sqrt[Pi]*(Piecewise[{{0, k^2/k0^2 <= 1}}, (2*Sqrt[k^2 - k0^2])/(k*Sqrt[Pi])] + I*Piecewise[{{(2*k0)/(k*Sqrt[Pi]), k0^2/k^2 < 1}, {(2*(k0 - Sqrt[-k^2 + k0^2]))/(k*Sqrt[Pi]), k0^2/k^2 > 1}}, 0]))/(2*k*k0^2)
 Piecewise[{{SeriesData[k, Infinity, {(9*c^4)/(2*k0^2) - ((3*I)*c^3)/k0, 0, (-15*(9*c^6 - (15*I)*c^5*k0 - 9*c^4*k0^2 + (2*I)*c^3*k0^3))/(4*k0^2), 0, (105*(69*c^8 - (172*I)*c^7*k0 - 180*c^6*k0^2 + (100*I)*c^5*k0^3 + 30*c^4*k0^4 - (4*I)*c^3*k0^5))/(32*k0^2), 0, (-105*(933*c^10 - (3025*I)*c^9*k0 - 4347*c^8*k0^2 + (3612*I)*c^7*k0^3 + 1890*c^6*k0^4 - (630*I)*c^5*k0^5 - 126*c^4*k0^6 + (12*I)*c^3*k0^7))/(64*k0^2)}, 4, 11, 1], (k0 <= 0 && k^2/k0^2 > 1) || k0 > 0}}, SeriesData[k, Infinity, {-k0^(-2), 0, 1/2, 0, ((3*c*(c - I*k0)^3)/8 - (3*c*(2*c - I*k0)^3)/4 + (3*c*(3*c - I*k0)^3)/8 - (3*I)/8*(c - I*k0)^3*k0 + (3*I)/8*(2*c - I*k0)^3*k0 - I/8*(3*c - I*k0)^3*k0)/k0^2, 0, ((-3*c*(c - I*k0)^5)/16 + (3*c*(2*c - I*k0)^5)/8 - (3*c*(3*c - I*k0)^5)/16 + (3*I)/16*(c - I*k0)^5*k0 - (3*I)/16*(2*c - I*k0)^5*k0 + I/16*(3*c - I*k0)^5*k0)/k0^2, 0, ((15*c*(c - I*k0)^7)/128 - (15*c*(2*c - I*k0)^7)/64 + (15*c*(3*c - I*k0)^7)/128 - (15*I)/128*(c - I*k0)^7*k0 + (15*I)/128*(2*c - I*k0)^7*k0 - (5*I)/128*(3*c - I*k0)^7*k0)/k0^2, 0, ((-21*c*(c - I*k0)^9)/256 + (21*c*(2*c - I*k0)^9)/128 - (21*c*(3*c - I*k0)^9)/256 + (21*I)/256*(c - I*k0)^9*k0 - (21*I)/256*(2*c - I*k0)^9*k0 + (7*I)/256*(3*c - I*k0)^9*k0)/k0^2}, 0, 11, 1]]
--- a/besseltransforms/3-2-2
+++ b/besseltransforms/3-2-2
@ -1,2 +0,0 @@
 (-1 + (6*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2)/k^2 - (6*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2)/k^2 + (2*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2)/k^2 + Sqrt[Pi]*(I*Piecewise[{{0, k^2/k0^2 <= 1}}, (2*k0*Sqrt[k^2 - k0^2])/(k^2*Sqrt[Pi])] + Piecewise[{{(k^2 + 2*k0*(-k0 + Sqrt[-k^2 + k0^2]))/(k^2*Sqrt[Pi]), k^2/k0^2 < 1}, {(1 - (2*k0^2)/k^2)/Sqrt[Pi], k^2/k0^2 > 1}}, 0]))/(2*k0^2)
 SeriesData[k, Infinity, {(3*c^3)/k0^2, 0, (-15*(5*c^5 - (6*I)*c^4*k0 - 2*c^3*k0^2))/(4*k0^2), 0, (21*(43*c^7 - (90*I)*c^6*k0 - 75*c^5*k0^2 + (30*I)*c^4*k0^3 + 5*c^3*k0^4))/(8*k0^2), 0, (-15*(3025*c^9 - (8694*I)*c^8*k0 - 10836*c^7*k0^2 + (7560*I)*c^6*k0^3 + 3150*c^5*k0^4 - (756*I)*c^4*k0^5 - 84*c^3*k0^6))/(64*k0^2)}, 3, 11, 1]
--- a/besseltransforms/3-3-0
+++ b/besseltransforms/3-3-0
--- a/besseltransforms/3-3-1
+++ b/besseltransforms/3-3-1
@ -1,9 +0,0 @@
 Integrate[(E^(I*k0*x)*(1 - E^(-(c*x)))^3*BesselJ[1, k*x])/(k0^3*x^2), {x, 0, Infinity}, Assumptions -> n == 1 && q == 3 && κ == 3]
                                -3 c x + I k0 x        c x 3                                    2  2              4  4              6  6               8  8      Pi                                         2  2               4  4              6  6               8  8      Pi
                             -(E                (-1 + E   )  (8 k x (-14783093325 + 1452971520 k  x  - 309657600 k  x  + 251658240 k  x  + 2147483648 k  x ) Cos[-- + k x] - 3 (156043762875 - 11416204800 k  x  + 1589575680 k  x  - 587202560 k  x  + 2147483648 k  x ) Sin[-- + k x]))
                                                                                                                                                                 4                                                                                                            4
 Integrate::idiv: Integral of ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ does not converge on {0, Infinity}.
                                                                                                                                                    19/2   3             23/2
                                                                                                                                        8589934592 k     k0  Sqrt[2 Pi] x
 Series[Integrate[(E^(I*k0*x)*(1 - E^(-(c*x)))^3*BesselJ[1, k*x])/(k0^3*x^2), {x, 0, Infinity}, Assumptions -> n == 1 && q == 3 && κ == 3], {k, Infinity, 10}]
--- a/besseltransforms/3-3-2
+++ b/besseltransforms/3-3-2
@ -1,2 +0,0 @@
 (6*(3 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) - (12*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3)/k^2 + 6*(-3 + 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + (12*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3)/k^2 + 2*(3 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) - (4*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3)/k^2 + 3*k0*Sqrt[Pi]*(Piecewise[{{0, k^2/k0^2 <= 1}}, (4*(k^2 - k0^2)^(3/2))/(3*k^2*k0*Sqrt[Pi])] + I*Piecewise[{{(-2*(2*k0*(k0 - Sqrt[-k^2 + k0^2]) + k^2*(-3 + (2*Sqrt[-k^2 + k0^2])/k0)))/(3*k^2*Sqrt[Pi]), k^2/k0^2 < 1}, {(2*(1 - (2*k0^2)/(3*k^2)))/Sqrt[Pi], k^2/k0^2 > 1}}, 0]))/(12*k0^3)
 SeriesData[k, Infinity, {(2*c^3)/k0^3, (-9*c^4)/(2*k0^3) + ((3*I)*c^3)/k0^2, 0, (5*(9*c^6 - (15*I)*c^5*k0 - 9*c^4*k0^2 + (2*I)*c^3*k0^3))/(4*k0^3), 0, (-21*(69*c^8 - (172*I)*c^7*k0 - 180*c^6*k0^2 + (100*I)*c^5*k0^3 + 30*c^4*k0^4 - (4*I)*c^3*k0^5))/(32*k0^3), 0, (15*(933*c^10 - (3025*I)*c^9*k0 - 4347*c^8*k0^2 + (3612*I)*c^7*k0^3 + 1890*c^6*k0^4 - (630*I)*c^5*k0^5 - 126*c^4*k0^6 + (12*I)*c^3*k0^7))/(64*k0^3)}, 2, 11, 1]
--- a/besseltransforms/3-3-3
+++ b/besseltransforms/3-3-3
@ -1,2 +0,0 @@
 (k^2*(3 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 - 2*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 + 3*k^2*(-3 + 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 6*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 3*k^2*(3 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 - 6*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 + k^2*(-3 + 2*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 2*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4)/(6*k^3*k0^3)
 SeriesData[k, Infinity, {(3*c^3)/k0^3, (-20*c^4)/k0^3 + ((8*I)*c^3)/k0^2, (15*(13*c^5 - (10*I)*c^4*k0 - 2*c^3*k0^2))/(4*k0^3), 0, (-7*(243*c^7 - (350*I)*c^6*k0 - 195*c^5*k0^2 + (50*I)*c^4*k0^3 + 5*c^3*k0^4))/(8*k0^3), 0, (3*(34105*c^9 - (69930*I)*c^8*k0 - 61236*c^7*k0^2 + (29400*I)*c^6*k0^3 + 8190*c^5*k0^4 - (1260*I)*c^4*k0^5 - 84*c^3*k0^6))/(64*k0^3), 0, (-33*(55591*c^11 - (145750*I)*c^10*k0 - 170525*c^9*k0^2 + (116550*I)*c^8*k0^3 + 51030*c^7*k0^4 - (14700*I)*c^6*k0^5 - 2730*c^5*k0^6 + (300*I)*c^4*k0^7 + 15*c^3*k0^8))/(128*k0^3)}, 2, 11, 1]
--- a/besseltransforms/3-3-4
+++ b/besseltransforms/3-3-4
@ -1,2 +0,0 @@
 (-3*(k^4*(-15 + 4*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5) + 3*(k^4*(-15 + 4*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5) + k^4*(-15 + 4*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 - k^4*(-15 + 4*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) - 4*k^2*(-10 + 7*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 - 24*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5)/(60*k^4*k0^3)
 SeriesData[k, Infinity, {(4*c^3)/k0^3, (-75*c^4)/(2*k0^3) + ((15*I)*c^3)/k0^2, (156*c^5)/k0^3 - ((120*I)*c^4)/k0^2 - (24*c^3)/k0, (-35*(35*c^6 - (39*I)*c^5*k0 - 15*c^4*k0^2 + (2*I)*c^3*k0^3))/(4*k0^3), 0, (63*(555*c^8 - (972*I)*c^7*k0 - 700*c^6*k0^2 + (260*I)*c^5*k0^3 + 50*c^4*k0^4 - (4*I)*c^3*k0^5))/(32*k0^3), 0, (-33*(14575*c^10 - (34105*I)*c^9*k0 - 34965*c^8*k0^2 + (20412*I)*c^7*k0^3 + 7350*c^6*k0^4 - (1638*I)*c^5*k0^5 - 210*c^4*k0^6 + (12*I)*c^3*k0^7))/(64*k0^3)}, 2, 11, 1]
--- a/besseltransforms/3-3-5
+++ b/besseltransforms/3-3-5
@ -1,2 +0,0 @@
 (3*k^4*(5 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 2*k^2*(15 - 11*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 - 16*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6 + 9*k^4*(-5 + 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 6*k^2*(-15 + 11*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 48*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6 + 9*k^4*(5 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 6*k^2*(15 - 11*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 - 48*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6 + 3*k^4*(-5 + 2*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 2*k^2*(-15 + 11*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 + 16*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6)/(30*k^5*k0^3)
 SeriesData[k, Infinity, {(5*c^3)/k0^3, (-12*(5*c^4 - (2*I)*c^3*k0))/k0^3, (105*(13*c^5 - (10*I)*c^4*k0 - 2*c^3*k0^2))/(4*k0^3), (-32*(35*c^6 - (39*I)*c^5*k0 - 15*c^4*k0^2 + (2*I)*c^3*k0^3))/k0^3, (63*(243*c^7 - (350*I)*c^6*k0 - 195*c^5*k0^2 + (50*I)*c^4*k0^3 + 5*c^3*k0^4))/(8*k0^3), 0, (-11*(34105*c^9 - (69930*I)*c^8*k0 - 61236*c^7*k0^2 + (29400*I)*c^6*k0^3 + 8190*c^5*k0^4 - (1260*I)*c^4*k0^5 - 84*c^3*k0^6))/(64*k0^3), 0, ((-39*(c - I*k0)^11)/128 + (117*(2*c - I*k0)^11)/128 - (117*(3*c - I*k0)^11)/128 + (39*(4*c - I*k0)^11)/128)/(30*k0^3)}, 2, 11, 1]
--- a/besseltransforms/3-3-6
+++ b/besseltransforms/3-3-6
@ -1,2 +0,0 @@
 (-3*(k^6*(-35 + 6*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^7) + 3*(k^6*(-35 + 6*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^7) + k^6*(-35 + 6*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^7 - k^6*(-35 + 6*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) - 6*k^4*(-35 + 17*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 - 16*k^2*(-21 + 16*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5 - 160*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^7)/(210*k^6*k0^3)
 SeriesData[k, Infinity, {(6*c^3)/k0^3, (-35*(5*c^4 - (2*I)*c^3*k0))/(2*k0^3), (48*(13*c^5 - (10*I)*c^4*k0 - 2*c^3*k0^2))/k0^3, (-315*(35*c^6 - (39*I)*c^5*k0 - 15*c^4*k0^2 + (2*I)*c^3*k0^3))/(4*k0^3), (32*(243*c^7 - (350*I)*c^6*k0 - 195*c^5*k0^2 + (50*I)*c^4*k0^3 + 5*c^3*k0^4))/k0^3, (-693*(555*c^8 - (972*I)*c^7*k0 - 700*c^6*k0^2 + (260*I)*c^5*k0^3 + 50*c^4*k0^4 - (4*I)*c^3*k0^5))/(32*k0^3), 0, ((-1001*(c - I*k0)^10)/128 + (3003*(2*c - I*k0)^10)/128 - (3003*(3*c - I*k0)^10)/128 + (1001*(4*c - I*k0)^10)/128)/(210*k0^3)}, 2, 11, 1]
--- a/besseltransforms/3-3-7
+++ b/besseltransforms/3-3-7
@ -1,2 +0,0 @@
 ((7*k^8 + 24*k^6*(7 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 16*k^4*(42 - 23*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 + 64*k^2*(14 - 11*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6 - 384*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^8)/(336*k^7) - (7*k^8 + 24*k^6*(7 - 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*k^4*(42 - 23*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 64*k^2*(14 - 11*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6 - 384*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^8)/(112*k^7) + (7*k^8 + 24*k^6*(7 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 16*k^4*(42 - 23*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 + 64*k^2*(14 - 11*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6 - 384*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^8)/(112*k^7) - (7*k^8 + 24*k^6*(7 - 2*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 16*k^4*(42 - 23*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 + 64*k^2*(14 - 11*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6 - 384*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^8)/(336*k^7))/k0^3
 SeriesData[k, Infinity, {(7*c^3)/k0^3, (-24*(5*c^4 - (2*I)*c^3*k0))/k0^3, (315*(13*c^5 - (10*I)*c^4*k0 - 2*c^3*k0^2))/(4*k0^3), (-160*(35*c^6 - (39*I)*c^5*k0 - 15*c^4*k0^2 + (2*I)*c^3*k0^3))/k0^3, (693*(243*c^7 - (350*I)*c^6*k0 - 195*c^5*k0^2 + (50*I)*c^4*k0^3 + 5*c^3*k0^4))/(8*k0^3), (-96*(555*c^8 - (972*I)*c^7*k0 - 700*c^6*k0^2 + (260*I)*c^5*k0^3 + 50*c^4*k0^4 - (4*I)*c^3*k0^5))/k0^3, ((-143*(c - I*k0)^9)/384 + (143*(2*c - I*k0)^9)/128 - (143*(3*c - I*k0)^9)/128 + (143*(4*c - I*k0)^9)/384)/k0^3, 0, ((13*(c - I*k0)^11)/256 - (39*(2*c - I*k0)^11)/256 + (39*(3*c - I*k0)^11)/256 - (13*(4*c - I*k0)^11)/256)/k0^3}, 2, 11, 1]
--- a/besseltransforms/4-1-0.REMOVED.git-id
+++ b/besseltransforms/4-1-0.REMOVED.git-id
@ -1 +0,0 @@
 bee84490a2f9b473adccfa023c6611be883a01a7
--- a/besseltransforms/4-1-1.REMOVED.git-id
+++ b/besseltransforms/4-1-1.REMOVED.git-id
@ -1 +0,0 @@
 a9ad81536da843935e33ae577308937e51c35ca7
--- a/besseltransforms/4-1-2.REMOVED.git-id
+++ b/besseltransforms/4-1-2.REMOVED.git-id
@ -1 +0,0 @@
 8640f89aa7c80f216e563672dd2763f2c7becbce
--- a/besseltransforms/4-1-3
+++ b/besseltransforms/4-1-3
@ -1,2 +0,0 @@
 ((k^2*(-3 + Sqrt[1 + k^2/(c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2)/(k^3*Sqrt[1 + k^2/(c - I*k0)^2]) - (4*(k^2*(-3 + Sqrt[1 + k^2/(2*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2))/(k^3*Sqrt[1 + k^2/(2*c - I*k0)^2]) + (6*(k^2*(-3 + Sqrt[1 + k^2/(3*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2))/(k^3*Sqrt[1 + k^2/(3*c - I*k0)^2]) - (4*(k^2*(-3 + Sqrt[1 + k^2/(4*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2))/(k^3*Sqrt[1 + k^2/(4*c - I*k0)^2]) + (k^2*(-3 + Sqrt[1 + k^2/(5*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2)/(k^3*Sqrt[1 + k^2/(5*c - I*k0)^2]))/k0
 SeriesData[k, Infinity, {((-105*I)*c^4)/k + (315*c^5)/(k*k0), 0, (-945*(30*c^7 - (28*I)*c^6*k0 - 9*c^5*k0^2 + I*c^4*k0^3))/(2*k*k0), 0, (3465*(2025*c^9 - (2979*I)*c^8*k0 - 1800*c^7*k0^2 + (560*I)*c^6*k0^3 + 90*c^5*k0^4 - (6*I)*c^4*k0^5))/(16*k*k0)}, 5, 11, 1]
--- a/besseltransforms/4-1-4
+++ b/besseltransforms/4-1-4
@ -1,2 +0,0 @@
 ((k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4)/(k^4*Sqrt[1 + k^2/(c - I*k0)^2]*(c - I*k0)) - (4*(k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4))/(k^4*Sqrt[1 + k^2/(2*c - I*k0)^2]*(2*c - I*k0)) + (6*(k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4))/(k^4*Sqrt[1 + k^2/(3*c - I*k0)^2]*(3*c - I*k0)) - (4*(k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4))/(k^4*Sqrt[1 + k^2/(4*c - I*k0)^2]*(4*c - I*k0)) + (k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4)/(k^4*Sqrt[1 + k^2/(5*c - I*k0)^2]*(5*c - I*k0)))/k0
 SeriesData[k, Infinity, {(105*c^4)/(k*k0), 0, (-315*(28*c^6 - (18*I)*c^5*k0 - 3*c^4*k0^2))/(2*k*k0), 0, (2079*(993*c^8 - (1200*I)*c^7*k0 - 560*c^6*k0^2 + (120*I)*c^5*k0^3 + 10*c^4*k0^4))/(16*k*k0), 0, (-2145*(49346*c^10 - (85050*I)*c^9*k0 - 62559*c^8*k0^2 + (25200*I)*c^7*k0^3 + 5880*c^6*k0^4 - (756*I)*c^5*k0^5 - 42*c^4*k0^6))/(32*k*k0)}, 4, 11, 1]
--- a/besseltransforms/4-1-5
+++ b/besseltransforms/4-1-5
@ -1,2 +0,0 @@
 ((k^4*(-5 + Sqrt[1 + k^2/(c - I*k0)^2]) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 16*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4)/(k^5*Sqrt[1 + k^2/(c - I*k0)^2]) - (4*(k^4*(-5 + Sqrt[1 + k^2/(2*c - I*k0)^2]) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4))/(k^5*Sqrt[1 + k^2/(2*c - I*k0)^2]) + (6*(k^4*(-5 + Sqrt[1 + k^2/(3*c - I*k0)^2]) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 16*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4))/(k^5*Sqrt[1 + k^2/(3*c - I*k0)^2]) - (4*(k^4*(-5 + Sqrt[1 + k^2/(4*c - I*k0)^2]) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 16*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4))/(k^5*Sqrt[1 + k^2/(4*c - I*k0)^2]) + (k^4*(-5 + Sqrt[1 + k^2/(5*c - I*k0)^2]) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 16*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4)/(k^5*Sqrt[1 + k^2/(5*c - I*k0)^2]))/k0
 SeriesData[k, Infinity, {(384*c^4)/(k*k0), ((945*I)*c^4)/k - (2835*c^5)/(k*k0), 0, (3465*(30*c^7 - (28*I)*c^6*k0 - 9*c^5*k0^2 + I*c^4*k0^3))/(2*k*k0), 0, (-9009*(2025*c^9 - (2979*I)*c^8*k0 - 1800*c^7*k0^2 + (560*I)*c^6*k0^3 + 90*c^5*k0^4 - (6*I)*c^4*k0^5))/(16*k*k0)}, 4, 11, 1]
--- a/besseltransforms/4-1-6
+++ b/besseltransforms/4-1-6
@ -1,2 +0,0 @@
 ((k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6)/(k^6*Sqrt[1 + k^2/(c - I*k0)^2]*(c - I*k0)) - (4*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6))/(k^6*Sqrt[1 + k^2/(2*c - I*k0)^2]*(2*c - I*k0)) + (6*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6))/(k^6*Sqrt[1 + k^2/(3*c - I*k0)^2]*(3*c - I*k0)) - (4*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6))/(k^6*Sqrt[1 + k^2/(4*c - I*k0)^2]*(4*c - I*k0)) + (k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^6)/(k^6*Sqrt[1 + k^2/(5*c - I*k0)^2]*(5*c - I*k0)))/k0
 SeriesData[k, Infinity, {(945*c^4)/(k*k0), ((3840*I)*c^4)/k - (11520*c^5)/(k*k0), (3465*(28*c^6 - (18*I)*c^5*k0 - 3*c^4*k0^2))/(2*k*k0), 0, (-9009*(993*c^8 - (1200*I)*c^7*k0 - 560*c^6*k0^2 + (120*I)*c^5*k0^3 + 10*c^4*k0^4))/(16*k*k0), 0, (6435*(49346*c^10 - (85050*I)*c^9*k0 - 62559*c^8*k0^2 + (25200*I)*c^7*k0^3 + 5880*c^6*k0^4 - (756*I)*c^5*k0^5 - 42*c^4*k0^6))/(32*k*k0)}, 4, 11, 1]
--- a/besseltransforms/4-1-7
+++ b/besseltransforms/4-1-7
@ -1,2 +0,0 @@
 ((k^6*(-7 + Sqrt[1 + k^2/(c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6)/(k^7*Sqrt[1 + k^2/(c - I*k0)^2]) - (4*(k^6*(-7 + Sqrt[1 + k^2/(2*c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6))/(k^7*Sqrt[1 + k^2/(2*c - I*k0)^2]) + (6*(k^6*(-7 + Sqrt[1 + k^2/(3*c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6))/(k^7*Sqrt[1 + k^2/(3*c - I*k0)^2]) - (4*(k^6*(-7 + Sqrt[1 + k^2/(4*c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6))/(k^7*Sqrt[1 + k^2/(4*c - I*k0)^2]) + (k^6*(-7 + Sqrt[1 + k^2/(5*c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^6)/(k^7*Sqrt[1 + k^2/(5*c - I*k0)^2]))/k0
 SeriesData[k, Infinity, {(1920*c^4)/(k*k0), ((10395*I)*c^4)/k - (31185*c^5)/(k*k0), (7680*(28*c^6 - (18*I)*c^5*k0 - 3*c^4*k0^2))/(k*k0), (-45045*(30*c^7 - (28*I)*c^6*k0 - 9*c^5*k0^2 + I*c^4*k0^3))/(2*k*k0), 0, (45045*(2025*c^9 - (2979*I)*c^8*k0 - 1800*c^7*k0^2 + (560*I)*c^6*k0^3 + 90*c^5*k0^4 - (6*I)*c^4*k0^5))/(16*k*k0)}, 4, 11, 1]
--- a/besseltransforms/4-2-0
+++ b/besseltransforms/4-2-0
@ -1 +0,0 @@
 Integrate[(E^(I*k0*x)*(-1 + E^(-(c*x)))^4*BesselJ[0, k*x])/(k0^2*x), {x, 0, Infinity}, Assumptions -> n == 0 && q == 2 && κ == 4]
--- a/besseltransforms/4-2-1
+++ b/besseltransforms/4-2-1
@ -1,2 +0,0 @@
 ((-4*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0))/k + (6*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0))/k - (4*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0))/k + ((-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0))/k + (Sqrt[Pi]*(Piecewise[{{0, k^2/k0^2 <= 1}}, (2*Sqrt[k^2 - k0^2])/(k*Sqrt[Pi])] + I*Piecewise[{{(2*k0)/(k*Sqrt[Pi]), k0^2/k^2 < 1}, {(2*(k0 - Sqrt[-k^2 + k0^2]))/(k*Sqrt[Pi]), k0^2/k^2 > 1}}, 0]))/2)/k0^2
 Piecewise[{{SeriesData[k, Infinity, {(-3*c^4)/k0^2, 0, (-45*c^4)/2 + (195*c^6)/(2*k0^2) - ((90*I)*c^5)/k0, 0, (6825*c^6)/4 - (25515*c^8)/(16*k0^2) + ((2625*I)*c^7)/k0 - (525*I)*c^5*k0 - (525*c^4*k0^2)/8, 0, (105*(6821*c^10 - (15540*I)*c^9*k0 - 15309*c^8*k0^2 + (8400*I)*c^7*k0^3 + 2730*c^6*k0^4 - (504*I)*c^5*k0^5 - 42*c^4*k0^6))/(32*k0^2)}, 4, 11, 1], (k0 <= 0 && k^2/k0^2 > 1) || k0 > 0}}, SeriesData[k, Infinity, {-k0^(-2), 0, 1/2, 0, ((c*(c - I*k0)^3)/2 - (3*c*(2*c - I*k0)^3)/2 + (3*c*(3*c - I*k0)^3)/2 - (c*(4*c - I*k0)^3)/2 - I/2*(c - I*k0)^3*k0 + (3*I)/4*(2*c - I*k0)^3*k0 - I/2*(3*c - I*k0)^3*k0 + I/8*(4*c - I*k0)^3*k0)/k0^2, 0, (-(c*(c - I*k0)^5)/4 + (3*c*(2*c - I*k0)^5)/4 - (3*c*(3*c - I*k0)^5)/4 + (c*(4*c - I*k0)^5)/4 + I/4*(c - I*k0)^5*k0 - (3*I)/8*(2*c - I*k0)^5*k0 + I/4*(3*c - I*k0)^5*k0 - I/16*(4*c - I*k0)^5*k0)/k0^2, 0, ((5*c*(c - I*k0)^7)/32 - (15*c*(2*c - I*k0)^7)/32 + (15*c*(3*c - I*k0)^7)/32 - (5*c*(4*c - I*k0)^7)/32 - (5*I)/32*(c - I*k0)^7*k0 + (15*I)/64*(2*c - I*k0)^7*k0 - (5*I)/32*(3*c - I*k0)^7*k0 + (5*I)/128*(4*c - I*k0)^7*k0)/k0^2, 0, ((-7*c*(c - I*k0)^9)/64 + (21*c*(2*c - I*k0)^9)/64 - (21*c*(3*c - I*k0)^9)/64 + (7*c*(4*c - I*k0)^9)/64 + (7*I)/64*(c - I*k0)^9*k0 - (21*I)/128*(2*c - I*k0)^9*k0 + (7*I)/64*(3*c - I*k0)^9*k0 - (7*I)/256*(4*c - I*k0)^9*k0)/k0^2}, 0, 11, 1]]
--- a/besseltransforms/4-2-2
+++ b/besseltransforms/4-2-2
@ -1,2 +0,0 @@
 (-k^2 + 8*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 - 12*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 8*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 - 2*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + k^2*Sqrt[Pi]*(I*Piecewise[{{0, k^2/k0^2 <= 1}}, (2*k0*Sqrt[k^2 - k0^2])/(k^2*Sqrt[Pi])] + Piecewise[{{(k^2 + 2*k0*(-k0 + Sqrt[-k^2 + k0^2]))/(k^2*Sqrt[Pi]), k^2/k0^2 < 1}, {(1 - (2*k0^2)/k^2)/Sqrt[Pi], k^2/k0^2 > 1}}, 0]))/(2*k^2*k0^2)
 SeriesData[k, Infinity, {(30*c^5)/k0^2 - ((15*I)*c^4)/k0, 0, 315*c^5 - (525*c^7)/k0^2 + ((1365*I)/2*c^6)/k0 - (105*I)/2*c^4*k0, 0, (315*(370*c^9 - (729*I)*c^8*k0 - 600*c^7*k0^2 + (260*I)*c^6*k0^3 + 60*c^5*k0^4 - (6*I)*c^4*k0^5))/(16*k0^2)}, 5, 11, 1]
--- a/besseltransforms/4-2-3
+++ b/besseltransforms/4-2-3
@ -1,2 +0,0 @@
 (k^2*(-3 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 4*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 - 4*k^2*(-3 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) - 16*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 6*k^2*(-3 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 24*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 - 4*k^2*(-3 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) - 16*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + k^2*(-3 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 4*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3)/(3*k^3*k0^2)
 SeriesData[k, Infinity, {(15*c^4)/k0^2, 0, (105*c^4)/2 - (490*c^6)/k0^2 + ((315*I)*c^5)/k0, 0, -6615*c^6 + (187677*c^8)/(16*k0^2) - ((14175*I)*c^7)/k0 + (2835*I)/2*c^5*k0 + (945*c^4*k0^2)/8, 0, (-165*(49346*c^10 - (85050*I)*c^9*k0 - 62559*c^8*k0^2 + (25200*I)*c^7*k0^3 + 5880*c^6*k0^4 - (756*I)*c^5*k0^5 - 42*c^4*k0^6))/(32*k0^2)}, 4, 11, 1]
--- a/besseltransforms/4-2-4
+++ b/besseltransforms/4-2-4
@ -1,2 +0,0 @@
 -((k^2*(-2 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 2*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 6*k^2*(-2 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 12*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 + k^2*(-2 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 2*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4)/(k^4*k0^2))
 SeriesData[k, Infinity, {(48*c^4)/k0^2, (-315*c^5)/k0^2 + ((105*I)*c^4)/k0, 0, (-2835*c^5)/2 + (4725*c^7)/k0^2 - ((4410*I)*c^6)/k0 + (315*I)/2*c^4*k0, 0, (-693*(2025*c^9 - (2979*I)*c^8*k0 - 1800*c^7*k0^2 + (560*I)*c^6*k0^3 + 90*c^5*k0^4 - (6*I)*c^4*k0^5))/(16*k0^2)}, 4, 11, 1]
--- a/besseltransforms/4-2-5
+++ b/besseltransforms/4-2-5
@ -1,2 +0,0 @@
 (-4*(k^4*(-5 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5) + 6*(k^4*(-5 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5) - 4*(k^4*(-5 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5) + k^4*(-5 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + k^4*(-5 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^5)/(5*k^5*k0^2)
 SeriesData[k, Infinity, {(105*c^4)/k0^2, (-1152*c^5)/k0^2 + ((384*I)*c^4)/k0, (-945*c^4)/2 + (4410*c^6)/k0^2 - ((2835*I)*c^5)/k0, 0, 24255*c^6 - (688149*c^8)/(16*k0^2) + ((51975*I)*c^7)/k0 - (10395*I)/2*c^5*k0 - (3465*c^4*k0^2)/8, 0, (429*(49346*c^10 - (85050*I)*c^9*k0 - 62559*c^8*k0^2 + (25200*I)*c^7*k0^3 + 5880*c^6*k0^4 - (756*I)*c^5*k0^5 - 42*c^4*k0^6))/(32*k0^2)}, 4, 11, 1]
--- a/besseltransforms/4-2-6
+++ b/besseltransforms/4-2-6
@ -1,2 +0,0 @@
 (-3*k^4*(-3 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 8*k^2*(3 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 - 16*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6 + 12*k^4*(-3 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 32*k^2*(-3 + 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6 - 18*k^4*(-3 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 48*k^2*(3 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 - 96*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6 + 12*k^4*(-3 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 32*k^2*(-3 + 2*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6 - 3*k^4*(-3 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 8*k^2*(3 - 2*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4 - 16*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^6)/(3*k^6*k0^2)
 SeriesData[k, Infinity, {(192*c^4)/k0^2, (-2835*c^5)/k0^2 + ((945*I)*c^4)/k0, -1920*c^4 + (17920*c^6)/k0^2 - ((11520*I)*c^5)/k0, (31185*c^5)/2 - (51975*c^7)/k0^2 + ((48510*I)*c^6)/k0 - (3465*I)/2*c^4*k0, 0, (3003*(2025*c^9 - (2979*I)*c^8*k0 - 1800*c^7*k0^2 + (560*I)*c^6*k0^3 + 90*c^5*k0^4 - (6*I)*c^4*k0^5))/(16*k0^2)}, 4, 11, 1]
--- a/besseltransforms/4-2-7
+++ b/besseltransforms/4-2-7
@ -1,2 +0,0 @@
 (-4*(k^6*(-7 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^7) + 6*(k^6*(-7 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^7) - 4*(k^6*(-7 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^7) + k^6*(-7 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^7 + k^6*(-7 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^7)/(7*k^7*k0^2)
 SeriesData[k, Infinity, {(315*c^4)/k0^2, (-1920*(3*c^5 - I*c^4*k0))/k0^2, (3465*(28*c^6 - (18*I)*c^5*k0 - 3*c^4*k0^2))/(2*k0^2), (-7680*(30*c^7 - (28*I)*c^6*k0 - 9*c^5*k0^2 + I*c^4*k0^3))/k0^2, (9009*(993*c^8 - (1200*I)*c^7*k0 - 560*c^6*k0^2 + (120*I)*c^5*k0^3 + 10*c^4*k0^4))/(16*k0^2), 0, (-2145*(49346*c^10 - (85050*I)*c^9*k0 - 62559*c^8*k0^2 + (25200*I)*c^7*k0^3 + 5880*c^6*k0^4 - (756*I)*c^5*k0^5 - 42*c^4*k0^6))/(32*k0^2)}, 4, 11, 1]
--- a/besseltransforms/4-3-0
+++ b/besseltransforms/4-3-0
@ -1,2 +0,0 @@
 Simplify::time: Time spent on a transformation exceeded 300. seconds, and the transformation was aborted. Increasing the value of TimeConstraint option may improve the result of simplification.
--- a/besseltransforms/4-3-1
+++ b/besseltransforms/4-3-1
@ -1,2 +0,0 @@
 Simplify::time: Time spent on a transformation exceeded 300. seconds, and the transformation was aborted. Increasing the value of TimeConstraint option may improve the result of simplification.
--- a/besseltransforms/4-3-2
+++ b/besseltransforms/4-3-2
@ -1,2 +0,0 @@
 (8*k^2*(3 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) - 16*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 12*k^2*(-3 + 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 24*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 8*k^2*(3 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) - 16*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 2*k^2*(-3 + 2*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 4*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 3*k^2*k0*Sqrt[Pi]*(Piecewise[{{0, k^2/k0^2 <= 1}}, (4*(k^2 - k0^2)^(3/2))/(3*k^2*k0*Sqrt[Pi])] + I*Piecewise[{{(-2*(2*k0*(k0 - Sqrt[-k^2 + k0^2]) + k^2*(-3 + (2*Sqrt[-k^2 + k0^2])/k0)))/(3*k^2*Sqrt[Pi]), k^2/k0^2 < 1}, {(2*(1 - (2*k0^2)/(3*k^2)))/Sqrt[Pi], k^2/k0^2 > 1}}, 0]))/(12*k^2*k0^3)
 SeriesData[k, Infinity, {(3*c^4)/k0^3, 0, (-5*(13*c^6 - (12*I)*c^5*k0 - 3*c^4*k0^2))/(2*k0^3), 0, (105*I)*c^5 + (5103*c^8)/(16*k0^3) - ((525*I)*c^7)/k0^2 - (1365*c^6)/(4*k0) + (105*c^4*k0)/8, 0, (-15*(6821*c^10 - (15540*I)*c^9*k0 - 15309*c^8*k0^2 + (8400*I)*c^7*k0^3 + 2730*c^6*k0^4 - (504*I)*c^5*k0^5 - 42*c^4*k0^6))/(32*k0^3)}, 3, 11, 1]
--- a/besseltransforms/4-3-3
+++ b/besseltransforms/4-3-3
@ -1,2 +0,0 @@
 (k^2*(3 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 - 2*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 + 4*k^2*(-3 + 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 8*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 6*k^2*(3 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 - 12*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 + 4*k^2*(-3 + 2*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 8*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 + k^2*(3 - 2*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 - 2*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4)/(6*k^3*k0^3)
 SeriesData[k, Infinity, {(8*c^4)/k0^3, (-45*c^5)/k0^3 + ((15*I)*c^4)/k0^2, 0, (35*I)/2*c^4 + (525*c^7)/k0^3 - ((490*I)*c^6)/k0^2 - (315*c^5)/(2*k0), 0, (-63*(2025*c^9 - (2979*I)*c^8*k0 - 1800*c^7*k0^2 + (560*I)*c^6*k0^3 + 90*c^5*k0^4 - (6*I)*c^4*k0^5))/(16*k0^3), 0, (165*(25080*c^11 - (49346*I)*c^10*k0 - 42525*c^9*k0^2 + (20853*I)*c^8*k0^3 + 6300*c^7*k0^4 - (1176*I)*c^6*k0^5 - 126*c^5*k0^6 + (6*I)*c^4*k0^7))/(32*k0^3)}, 3, 11, 1]
--- a/besseltransforms/4-3-4
+++ b/besseltransforms/4-3-4
@ -1,2 +0,0 @@
 (-4*(k^4*(-15 + 4*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5) + 6*(k^4*(-15 + 4*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5) - 4*(k^4*(-15 + 4*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5) + k^4*(-15 + 4*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + k^4*(-15 + 4*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^5)/(60*k^4*k0^3)
 SeriesData[k, Infinity, {(15*c^4)/k0^3, (-48*(3*c^5 - I*c^4*k0))/k0^3, (35*(28*c^6 - (18*I)*c^5*k0 - 3*c^4*k0^2))/(2*k0^3), 0, (-63*(993*c^8 - (1200*I)*c^7*k0 - 560*c^6*k0^2 + (120*I)*c^5*k0^3 + 10*c^4*k0^4))/(16*k0^3), 0, (33*(49346*c^10 - (85050*I)*c^9*k0 - 62559*c^8*k0^2 + (25200*I)*c^7*k0^3 + 5880*c^6*k0^4 - (756*I)*c^5*k0^5 - 42*c^4*k0^6))/(32*k0^3)}, 3, 11, 1]
--- a/besseltransforms/4-3-5
+++ b/besseltransforms/4-3-5
@ -1,2 +0,0 @@
 ((5*k^6 + 12*k^4*(5 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 8*k^2*(15 - 11*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 - 64*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6)/(120*k^5) - (5*k^6 + 12*k^4*(5 - 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 8*k^2*(15 - 11*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 - 64*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6)/(30*k^5) + (5*k^6 + 12*k^4*(5 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 8*k^2*(15 - 11*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 - 64*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6)/(20*k^5) - (5*k^6 + 12*k^4*(5 - 2*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 8*k^2*(15 - 11*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 - 64*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6)/(30*k^5) + (5*k^6 + 12*k^4*(5 - 2*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 8*k^2*(15 - 11*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4 - 64*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^6)/(120*k^5))/k0^3
 SeriesData[k, Infinity, {(24*c^4)/k0^3, (-315*c^5)/k0^3 + ((105*I)*c^4)/k0^2, (1792*c^6)/k0^3 - ((1152*I)*c^5)/k0^2 - (192*c^4)/k0, (-315*I)/2*c^4 - (4725*c^7)/k0^3 + ((4410*I)*c^6)/k0^2 + (2835*c^5)/(2*k0), 0, (231*(2025*c^9 - (2979*I)*c^8*k0 - 1800*c^7*k0^2 + (560*I)*c^6*k0^3 + 90*c^5*k0^4 - (6*I)*c^4*k0^5))/(16*k0^3), 0, (-429*(25080*c^11 - (49346*I)*c^10*k0 - 42525*c^9*k0^2 + (20853*I)*c^8*k0^3 + 6300*c^7*k0^4 - (1176*I)*c^6*k0^5 - 126*c^5*k0^6 + (6*I)*c^4*k0^7))/(32*k0^3)}, 3, 11, 1]
--- a/besseltransforms/4-3-6
+++ b/besseltransforms/4-3-6
@ -1,2 +0,0 @@
 ((k^6*(-35 + 6*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^7)/(210*k^6) - (2*(k^6*(-35 + 6*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^7))/(105*k^6) + (k^6*(-35 + 6*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^7)/(35*k^6) - (2*(k^6*(-35 + 6*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^7))/(105*k^6) + (k^6*(-35 + 6*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^7)/(210*k^6))/k0^3
 SeriesData[k, Infinity, {(35*c^4)/k0^3, (-576*c^5)/k0^3 + ((192*I)*c^4)/k0^2, (4410*c^6)/k0^3 - ((2835*I)*c^5)/k0^2 - (945*c^4)/(2*k0), (-640*I)*c^4 - (19200*c^7)/k0^3 + ((17920*I)*c^6)/k0^2 + (5760*c^5)/k0, (10395*I)/2*c^5 + (688149*c^8)/(16*k0^3) - ((51975*I)*c^7)/k0^2 - (24255*c^6)/k0 + (3465*c^4*k0)/8, 0, (-143*(49346*c^10 - (85050*I)*c^9*k0 - 62559*c^8*k0^2 + (25200*I)*c^7*k0^3 + 5880*c^6*k0^4 - (756*I)*c^5*k0^5 - 42*c^4*k0^6))/(32*k0^3)}, 3, 11, 1]
--- a/besseltransforms/4-3-7
+++ b/besseltransforms/4-3-7
@ -1,2 +0,0 @@
 ((7*k^8 + 24*k^6*(7 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 16*k^4*(42 - 23*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 + 64*k^2*(14 - 11*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6 - 384*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^8)/(336*k^7) - (7*k^8 + 24*k^6*(7 - 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*k^4*(42 - 23*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 64*k^2*(14 - 11*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6 - 384*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^8)/(84*k^7) + (7*k^8 + 24*k^6*(7 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 16*k^4*(42 - 23*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 + 64*k^2*(14 - 11*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6 - 384*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^8)/(56*k^7) - (7*k^8 + 24*k^6*(7 - 2*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 16*k^4*(42 - 23*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 + 64*k^2*(14 - 11*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6 - 384*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^8)/(84*k^7) + (7*k^8 + 24*k^6*(7 - 2*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 16*k^4*(42 - 23*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4 + 64*k^2*(14 - 11*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^6 - 384*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^8)/(336*k^7))/k0^3
 SeriesData[k, Infinity, {(48*c^4)/k0^3, (-945*c^5)/k0^3 + ((315*I)*c^4)/k0^2, (8960*c^6)/k0^3 - ((5760*I)*c^5)/k0^2 - (960*c^4)/k0, (-3465*I)/2*c^4 - (51975*c^7)/k0^3 + ((48510*I)*c^6)/k0^2 + (31185*c^5)/(2*k0), (23040*I)*c^5 + (190656*c^8)/k0^3 - ((230400*I)*c^7)/k0^2 - (107520*c^6)/k0 + 1920*c^4*k0, (-3003*(2025*c^9 - (2979*I)*c^8*k0 - 1800*c^7*k0^2 + (560*I)*c^6*k0^3 + 90*c^5*k0^4 - (6*I)*c^4*k0^5))/(16*k0^3), 0, (2145*(25080*c^11 - (49346*I)*c^10*k0 - 42525*c^9*k0^2 + (20853*I)*c^8*k0^3 + 6300*c^7*k0^4 - (1176*I)*c^6*k0^5 - 126*c^5*k0^6 + (6*I)*c^4*k0^7))/(32*k0^3)}, 3, 11, 1]
--- a/besseltransforms/4-4-0
+++ b/besseltransforms/4-4-0
@ -1,9 +0,0 @@
 Integrate[(E^(-(c*x) + I*k0*x)*(1 - E^(-(c*x)))^4*BesselJ[0, k*x])/(k0^4*x^3), {x, 0, Infinity}, Assumptions -> n == 0 && q == 4 && κ == 4 && c >= 0 && k >= 0 && k0 >= 0 && n >= 0]
                              -5 c x + I k0 x        c x 4                                2  2               4  4               6  6               8  8      Pi                                                   2  2              4  4              6  6               8  8
                             E                (-1 + E   )  ((-418854310875 + 29682132480 k  x  - 3901685760 k  x  + 1258291200 k  x  - 2147483648 k  x ) Cos[-- + k x] + 4 Sqrt[2] k x (13043905875 - 1229437440 k  x  + 240844800 k  x  - 150994944 k  x  + 2147483648 k  x ) (Cos[k x] + Sin[k x]))
                                                                                                                                                             4
 Integrate::idiv: Integral of ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ does not converge on {0, Infinity}.
                                                                                                                                                          19/2   4             25/2
                                                                                                                                              8589934592 k     k0  Sqrt[2 Pi] x
 Series[Integrate[(E^(-(c*x) + I*k0*x)*(1 - E^(-(c*x)))^4*BesselJ[0, k*x])/(k0^4*x^3), {x, 0, Infinity}, Assumptions -> n == 0 && q == 4 && κ == 4 && c >= 0 && k >= 0 && k0 >= 0 && n >= 0], {k, Infinity, 10}]
--- a/besseltransforms/4-4-1
+++ b/besseltransforms/4-4-1
@ -1,9 +0,0 @@
 Integrate[(E^(-(c*x) + I*k0*x)*(1 - E^(-(c*x)))^4*BesselJ[1, k*x])/(k0^4*x^3), {x, 0, Infinity}, Assumptions -> n == 1 && q == 4 && κ == 4 && c >= 0 && k >= 0 && k0 >= 0 && n >= 0]
                                -5 c x + I k0 x        c x 4                                    2  2              4  4              6  6               8  8      Pi                                         2  2               4  4              6  6               8  8      Pi
                             -(E                (-1 + E   )  (8 k x (-14783093325 + 1452971520 k  x  - 309657600 k  x  + 251658240 k  x  + 2147483648 k  x ) Cos[-- + k x] - 3 (156043762875 - 11416204800 k  x  + 1589575680 k  x  - 587202560 k  x  + 2147483648 k  x ) Sin[-- + k x]))
                                                                                                                                                                 4                                                                                                            4
 Integrate::idiv: Integral of ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ does not converge on {0, Infinity}.
                                                                                                                                                    19/2   4             25/2
                                                                                                                                        8589934592 k     k0  Sqrt[2 Pi] x
 Series[Integrate[(E^(-(c*x) + I*k0*x)*(1 - E^(-(c*x)))^4*BesselJ[1, k*x])/(k0^4*x^3), {x, 0, Infinity}, Assumptions -> n == 1 && q == 4 && κ == 4 && c >= 0 && k >= 0 && k0 >= 0 && n >= 0], {k, Infinity, 10}]
--- a/besseltransforms/4-4-2
+++ b/besseltransforms/4-4-2
@ -1,9 +0,0 @@
 Integrate[(E^(-(c*x) + I*k0*x)*(1 - E^(-(c*x)))^4*BesselJ[2, k*x])/(k0^4*x^3), {x, 0, Infinity}, Assumptions -> n == 2 && q == 4 && κ == 4 && c >= 0 && k >= 0 && k0 >= 0 && n >= 0]
                                -5 c x + I k0 x        c x 4                                 2  2              4  4              6  6               8  8      Pi                                                   2  2              4  4               6  6               8  8
                             -(E                (-1 + E   )  (15 (-43692253605 + 3528645120 k  x  - 590413824 k  x  + 352321536 k  x  + 2147483648 k  x ) Cos[-- + k x] + 4 Sqrt[2] k x (21606059475 - 2421619200 k  x  + 681246720 k  x  - 1761607680 k  x  + 2147483648 k  x ) (Cos[k x] + Sin[k x])))
                                                                                                                                                              4
 Integrate::idiv: Integral of --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- does not converge on {0, Infinity}.
                                                                                                                                                            19/2   4             25/2
                                                                                                                                                8589934592 k     k0  Sqrt[2 Pi] x
 Series[Integrate[(E^(-(c*x) + I*k0*x)*(1 - E^(-(c*x)))^4*BesselJ[2, k*x])/(k0^4*x^3), {x, 0, Infinity}, Assumptions -> n == 2 && q == 4 && κ == 4 && c >= 0 && k >= 0 && k0 >= 0 && n >= 0], {k, Infinity, 10}]
--- a/besseltransforms/4-4-3
+++ b/besseltransforms/4-4-3
@ -1,2 +0,0 @@
 (-4*(k^4*(-15 + 8*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 4*k^2*(-5 + 4*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 8*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5) + 6*(k^4*(-15 + 8*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 4*k^2*(-5 + 4*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 8*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5) - 4*(k^4*(-15 + 8*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 4*k^2*(-5 + 4*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 8*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5) + k^4*(-15 + 8*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 4*k^2*(-5 + 4*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 8*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + k^4*(-15 + 8*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 4*k^2*(-5 + 4*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 8*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^5)/(120*k^3*k0^4)
 SeriesData[k, Infinity, {(3*c^4)/k0^4, (-8*(3*c^5 - I*c^4*k0))/k0^4, (5*(28*c^6 - (18*I)*c^5*k0 - 3*c^4*k0^2))/(2*k0^4), 0, (-7*(993*c^8 - (1200*I)*c^7*k0 - 560*c^6*k0^2 + (120*I)*c^5*k0^3 + 10*c^4*k0^4))/(16*k0^4), 0, (3*(49346*c^10 - (85050*I)*c^9*k0 - 62559*c^8*k0^2 + (25200*I)*c^7*k0^3 + 5880*c^6*k0^4 - (756*I)*c^5*k0^5 - 42*c^4*k0^6))/(32*k0^4), 0, ((-5*(c - I*k0)^12)/128 + (5*(2*c - I*k0)^12)/32 - (15*(3*c - I*k0)^12)/64 + (5*(4*c - I*k0)^12)/32 - (5*(5*c - I*k0)^12)/128)/(120*k0^4)}, 2, 11, 1]
--- a/besseltransforms/4-4-4
+++ b/besseltransforms/4-4-4
@ -1,2 +0,0 @@
 ((5*k^6 + 2*k^4*(15 - 8*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 8*k^2*(5 - 4*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 - 16*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6)/(240*k^4) - (5*k^6 + 2*k^4*(15 - 8*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 8*k^2*(5 - 4*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 - 16*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6)/(60*k^4) + (5*k^6 + 2*k^4*(15 - 8*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 8*k^2*(5 - 4*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 - 16*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6)/(40*k^4) - (5*k^6 + 2*k^4*(15 - 8*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 8*k^2*(5 - 4*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 - 16*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6)/(60*k^4) + (5*k^6 + 2*k^4*(15 - 8*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 8*k^2*(5 - 4*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4 - 16*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^6)/(240*k^4))/k0^4
 SeriesData[k, Infinity, {(4*c^4)/k0^4, (-45*c^5)/k0^4 + ((15*I)*c^4)/k0^3, (224*c^6)/k0^4 - ((144*I)*c^5)/k0^3 - (24*c^4)/k0^2, (-35*(30*c^7 - (28*I)*c^6*k0 - 9*c^5*k0^2 + I*c^4*k0^3))/(2*k0^4), 0, (21*(2025*c^9 - (2979*I)*c^8*k0 - 1800*c^7*k0^2 + (560*I)*c^6*k0^3 + 90*c^5*k0^4 - (6*I)*c^4*k0^5))/(16*k0^4), 0, (-33*(25080*c^11 - (49346*I)*c^10*k0 - 42525*c^9*k0^2 + (20853*I)*c^8*k0^3 + 6300*c^7*k0^4 - (1176*I)*c^6*k0^5 - 126*c^5*k0^6 + (6*I)*c^4*k0^7))/(32*k0^4)}, 2, 11, 1]
--- a/besseltransforms/4-4-5
+++ b/besseltransforms/4-4-5
@ -1,2 +0,0 @@
 ((k^6*(-35 + 8*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 20*k^4*(-7 + 4*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 8*k^2*(-21 + 17*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^7)/(840*k^5) - (k^6*(-35 + 8*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 20*k^4*(-7 + 4*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 8*k^2*(-21 + 17*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^7)/(210*k^5) + (k^6*(-35 + 8*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 20*k^4*(-7 + 4*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 8*k^2*(-21 + 17*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^7)/(140*k^5) - (k^6*(-35 + 8*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 20*k^4*(-7 + 4*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 8*k^2*(-21 + 17*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^7)/(210*k^5) + (k^6*(-35 + 8*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 20*k^4*(-7 + 4*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 8*k^2*(-21 + 17*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^7)/(840*k^5))/k0^4
 SeriesData[k, Infinity, {(5*c^4)/k0^4, (-72*c^5)/k0^4 + ((24*I)*c^4)/k0^3, (490*c^6)/k0^4 - ((315*I)*c^5)/k0^3 - (105*c^4)/(2*k0^2), (-1920*c^7)/k0^4 + ((1792*I)*c^6)/k0^3 + (576*c^5)/k0^2 - ((64*I)*c^4)/k0, (63*(993*c^8 - (1200*I)*c^7*k0 - 560*c^6*k0^2 + (120*I)*c^5*k0^3 + 10*c^4*k0^4))/(16*k0^4), 0, (-11*(49346*c^10 - (85050*I)*c^9*k0 - 62559*c^8*k0^2 + (25200*I)*c^7*k0^3 + 5880*c^6*k0^4 - (756*I)*c^5*k0^5 - 42*c^4*k0^6))/(32*k0^4), 0, (143*(682591*c^12 - (1504800*I)*c^11*k0 - 1480380*c^10*k0^2 + (850500*I)*c^9*k0^3 + 312795*c^8*k0^4 - (75600*I)*c^7*k0^5 - 11760*c^6*k0^6 + (1080*I)*c^5*k0^7 + 45*c^4*k0^8))/(640*k0^4)}, 2, 11, 1]
--- a/besseltransforms/4-4-6
+++ b/besseltransforms/4-4-6
@ -1,2 +0,0 @@
 ((35*k^8 + 16*k^6*(35 - 12*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 16*k^4*(105 - 64*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 + 64*k^2*(28 - 23*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6 - 640*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^8)/(6720*k^6) - (35*k^8 + 16*k^6*(35 - 12*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*k^4*(105 - 64*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 64*k^2*(28 - 23*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6 - 640*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^8)/(1680*k^6) + (35*k^8 + 16*k^6*(35 - 12*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 16*k^4*(105 - 64*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 + 64*k^2*(28 - 23*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6 - 640*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^8)/(1120*k^6) - (35*k^8 + 16*k^6*(35 - 12*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 16*k^4*(105 - 64*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 + 64*k^2*(28 - 23*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6 - 640*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^8)/(1680*k^6) + (35*k^8 + 16*k^6*(35 - 12*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 16*k^4*(105 - 64*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4 + 64*k^2*(28 - 23*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^6 - 640*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^8)/(6720*k^6))/k0^4
 SeriesData[k, Infinity, {(6*c^4)/k0^4, (-105*c^5)/k0^4 + ((35*I)*c^4)/k0^3, (896*c^6)/k0^4 - ((576*I)*c^5)/k0^3 - (96*c^4)/k0^2, (-315*(30*c^7 - (28*I)*c^6*k0 - 9*c^5*k0^2 + I*c^4*k0^3))/(2*k0^4), 160*c^4 + (15888*c^8)/k0^4 - ((19200*I)*c^7)/k0^3 - (8960*c^6)/k0^2 + ((1920*I)*c^5)/k0, (-231*(2025*c^9 - (2979*I)*c^8*k0 - 1800*c^7*k0^2 + (560*I)*c^6*k0^3 + 90*c^5*k0^4 - (6*I)*c^4*k0^5))/(16*k0^4), 0, (143*(25080*c^11 - (49346*I)*c^10*k0 - 42525*c^9*k0^2 + (20853*I)*c^8*k0^3 + 6300*c^7*k0^4 - (1176*I)*c^6*k0^5 - 126*c^5*k0^6 + (6*I)*c^4*k0^7))/(32*k0^4)}, 2, 11, 1]
--- a/besseltransforms/4-4-7
+++ b/besseltransforms/4-4-7
@ -1,2 +0,0 @@
 ((k^8*(-105 + 16*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 8*k^6*(-105 + 44*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 144*k^4*(-14 + 9*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + 320*k^2*(-6 + 5*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^7 + 640*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^9)/(5040*k^7) - (k^8*(-105 + 16*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 8*k^6*(-105 + 44*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 144*k^4*(-14 + 9*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5 + 320*k^2*(-6 + 5*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^7 + 640*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^9)/(1260*k^7) + (k^8*(-105 + 16*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 8*k^6*(-105 + 44*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 144*k^4*(-14 + 9*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5 + 320*k^2*(-6 + 5*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^7 + 640*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^9)/(840*k^7) - (k^8*(-105 + 16*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 8*k^6*(-105 + 44*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 144*k^4*(-14 + 9*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5 + 320*k^2*(-6 + 5*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^7 + 640*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^9)/(1260*k^7) + (k^8*(-105 + 16*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 8*k^6*(-105 + 44*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 144*k^4*(-14 + 9*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^5 + 320*k^2*(-6 + 5*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^7 + 640*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^9)/(5040*k^7))/k0^4
 SeriesData[k, Infinity, {(7*c^4)/k0^4, (-48*(3*c^5 - I*c^4*k0))/k0^4, (105*(28*c^6 - (18*I)*c^5*k0 - 3*c^4*k0^2))/(2*k0^4), (-320*(30*c^7 - (28*I)*c^6*k0 - 9*c^5*k0^2 + I*c^4*k0^3))/k0^4, (693*(993*c^8 - (1200*I)*c^7*k0 - 560*c^6*k0^2 + (120*I)*c^5*k0^3 + 10*c^4*k0^4))/(16*k0^4), (-64*(2025*c^9 - (2979*I)*c^8*k0 - 1800*c^7*k0^2 + (560*I)*c^6*k0^3 + 90*c^5*k0^4 - (6*I)*c^4*k0^5))/k0^4, (143*(49346*c^10 - (85050*I)*c^9*k0 - 62559*c^8*k0^2 + (25200*I)*c^7*k0^3 + 5880*c^6*k0^4 - (756*I)*c^5*k0^5 - 42*c^4*k0^6))/(32*k0^4), 0, ((-13*(c - I*k0)^12)/3072 + (13*(2*c - I*k0)^12)/768 - (13*(3*c - I*k0)^12)/512 + (13*(4*c - I*k0)^12)/768 - (13*(5*c - I*k0)^12)/3072)/k0^4}, 2, 11, 1]
--- a/besseltransforms/5-1-0.REMOVED.git-id
+++ b/besseltransforms/5-1-0.REMOVED.git-id
@ -1 +0,0 @@
 6b5039445ac40a8e4dde06ee71a446ec8c971871
--- a/besseltransforms/5-1-1.REMOVED.git-id
+++ b/besseltransforms/5-1-1.REMOVED.git-id
@ -1 +0,0 @@
 f5594061661eec519d31142141692d67f7b41978
--- a/besseltransforms/5-1-2.REMOVED.git-id
+++ b/besseltransforms/5-1-2.REMOVED.git-id
@ -1 +0,0 @@
 a1c5acb5509b38870c8f208e65cec91b86716900
--- a/besseltransforms/5-1-3
+++ b/besseltransforms/5-1-3
@ -1,2 +0,0 @@
 ((k^2*(-3 + Sqrt[1 + k^2/(c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2)/(k^3*Sqrt[1 + k^2/(c - I*k0)^2]) - (5*(k^2*(-3 + Sqrt[1 + k^2/(2*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2))/(k^3*Sqrt[1 + k^2/(2*c - I*k0)^2]) + (10*(k^2*(-3 + Sqrt[1 + k^2/(3*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2))/(k^3*Sqrt[1 + k^2/(3*c - I*k0)^2]) - (10*(k^2*(-3 + Sqrt[1 + k^2/(4*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2))/(k^3*Sqrt[1 + k^2/(4*c - I*k0)^2]) + (5*(k^2*(-3 + Sqrt[1 + k^2/(5*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2))/(k^3*Sqrt[1 + k^2/(5*c - I*k0)^2]) - (k^2*(-3 + Sqrt[1 + k^2/(6*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^2)/(k^3*Sqrt[1 + k^2/(6*c - I*k0)^2]))/k0
 SeriesData[k, Infinity, {(-105*c^5)/(k*k0), 0, (945*(38*c^7 - (21*I)*c^6*k0 - 3*c^5*k0^2))/(2*k*k0), 0, (-17325*(1087*c^9 - (1134*I)*c^8*k0 - 456*c^7*k0^2 + (84*I)*c^6*k0^3 + 6*c^5*k0^4))/(16*k*k0)}, 5, 11, 1]
--- a/besseltransforms/5-1-4
+++ b/besseltransforms/5-1-4
@ -1,2 +0,0 @@
 ((k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4)/(k^4*Sqrt[1 + k^2/(c - I*k0)^2]*(c - I*k0)) - (5*(k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4))/(k^4*Sqrt[1 + k^2/(2*c - I*k0)^2]*(2*c - I*k0)) + (10*(k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4))/(k^4*Sqrt[1 + k^2/(3*c - I*k0)^2]*(3*c - I*k0)) - (10*(k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4))/(k^4*Sqrt[1 + k^2/(4*c - I*k0)^2]*(4*c - I*k0)) + (5*(k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4))/(k^4*Sqrt[1 + k^2/(5*c - I*k0)^2]*(5*c - I*k0)) - (k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^4)/(k^4*Sqrt[1 + k^2/(6*c - I*k0)^2]*(6*c - I*k0)))/k0
 SeriesData[k, Infinity, {((-945*I)*c^5)/k + (6615*c^6)/(2*k*k0), 0, (-10395*(189*c^8 - (152*I)*c^7*k0 - 42*c^6*k0^2 + (4*I)*c^5*k0^3))/(8*k*k0), 0, (45045*(8547*c^10 - (10870*I)*c^9*k0 - 5670*c^8*k0^2 + (1520*I)*c^7*k0^3 + 210*c^6*k0^4 - (12*I)*c^5*k0^5))/(32*k*k0)}, 6, 11, 1]
--- a/besseltransforms/5-1-5
+++ b/besseltransforms/5-1-5
@ -1,2 +0,0 @@
 ((k^4*(-5 + Sqrt[1 + k^2/(c - I*k0)^2]) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 16*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4)/(k^5*Sqrt[1 + k^2/(c - I*k0)^2]) - (5*(k^4*(-5 + Sqrt[1 + k^2/(2*c - I*k0)^2]) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4))/(k^5*Sqrt[1 + k^2/(2*c - I*k0)^2]) + (10*(k^4*(-5 + Sqrt[1 + k^2/(3*c - I*k0)^2]) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 16*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4))/(k^5*Sqrt[1 + k^2/(3*c - I*k0)^2]) - (10*(k^4*(-5 + Sqrt[1 + k^2/(4*c - I*k0)^2]) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 16*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4))/(k^5*Sqrt[1 + k^2/(4*c - I*k0)^2]) + (5*(k^4*(-5 + Sqrt[1 + k^2/(5*c - I*k0)^2]) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 16*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4))/(k^5*Sqrt[1 + k^2/(5*c - I*k0)^2]) - (k^4*(-5 + Sqrt[1 + k^2/(6*c - I*k0)^2]) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^2 + 16*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^4)/(k^5*Sqrt[1 + k^2/(6*c - I*k0)^2]))/k0
 SeriesData[k, Infinity, {(945*c^5)/(k*k0), 0, (-3465*(38*c^7 - (21*I)*c^6*k0 - 3*c^5*k0^2))/(2*k*k0), 0, (45045*(1087*c^9 - (1134*I)*c^8*k0 - 456*c^7*k0^2 + (84*I)*c^6*k0^3 + 6*c^5*k0^4))/(16*k*k0)}, 5, 11, 1]
--- a/besseltransforms/5-1-6
+++ b/besseltransforms/5-1-6
@ -1,2 +0,0 @@
 ((k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6)/(k^6*Sqrt[1 + k^2/(c - I*k0)^2]*(c - I*k0)) - (5*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6))/(k^6*Sqrt[1 + k^2/(2*c - I*k0)^2]*(2*c - I*k0)) + (10*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6))/(k^6*Sqrt[1 + k^2/(3*c - I*k0)^2]*(3*c - I*k0)) - (10*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6))/(k^6*Sqrt[1 + k^2/(4*c - I*k0)^2]*(4*c - I*k0)) + (5*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^6))/(k^6*Sqrt[1 + k^2/(5*c - I*k0)^2]*(5*c - I*k0)) - (k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^6)/(k^6*Sqrt[1 + k^2/(6*c - I*k0)^2]*(6*c - I*k0)))/k0
 SeriesData[k, Infinity, {(3840*c^5)/(k*k0), ((10395*I)*c^5)/k - (72765*c^6)/(2*k*k0), 0, (45045*(189*c^8 - (152*I)*c^7*k0 - 42*c^6*k0^2 + (4*I)*c^5*k0^3))/(8*k*k0), 0, (-135135*(8547*c^10 - (10870*I)*c^9*k0 - 5670*c^8*k0^2 + (1520*I)*c^7*k0^3 + 210*c^6*k0^4 - (12*I)*c^5*k0^5))/(32*k*k0)}, 5, 11, 1]
--- a/besseltransforms/5-1-7
+++ b/besseltransforms/5-1-7
@ -1,2 +0,0 @@
 ((k^6*(-7 + Sqrt[1 + k^2/(c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6)/(k^7*Sqrt[1 + k^2/(c - I*k0)^2]) - (5*(k^6*(-7 + Sqrt[1 + k^2/(2*c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6))/(k^7*Sqrt[1 + k^2/(2*c - I*k0)^2]) + (10*(k^6*(-7 + Sqrt[1 + k^2/(3*c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6))/(k^7*Sqrt[1 + k^2/(3*c - I*k0)^2]) - (10*(k^6*(-7 + Sqrt[1 + k^2/(4*c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6))/(k^7*Sqrt[1 + k^2/(4*c - I*k0)^2]) + (5*(k^6*(-7 + Sqrt[1 + k^2/(5*c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^6))/(k^7*Sqrt[1 + k^2/(5*c - I*k0)^2]) - (k^6*(-7 + Sqrt[1 + k^2/(6*c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^2 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^4 + 64*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^6)/(k^7*Sqrt[1 + k^2/(6*c - I*k0)^2]))/k0
 SeriesData[k, Infinity, {(10395*c^5)/(k*k0), ((46080*I)*c^5)/k - (161280*c^6)/(k*k0), (45045*(38*c^7 - (21*I)*c^6*k0 - 3*c^5*k0^2))/(2*k*k0), 0, (-225225*(1087*c^9 - (1134*I)*c^8*k0 - 456*c^7*k0^2 + (84*I)*c^6*k0^3 + 6*c^5*k0^4))/(16*k*k0)}, 5, 11, 1]
--- a/besseltransforms/5-2-0
+++ b/besseltransforms/5-2-0
@ -1,9 +0,0 @@
 Integrate[(E^(I*k0*x)*(1 - E^(-(c*x)))^5*BesselJ[0, k*x])/(k0^2*x), {x, 0, Infinity}, Assumptions -> n == 0 && q == 2 && κ == 5]
                                            I k0 x     Pi                         -5 c x + I k0 x     Pi                       -4 c x + I k0 x     Pi                       -3 c x + I k0 x     Pi                       -2 c x + I k0 x     Pi                       -(c x) + I k0 x     Pi                     I k0 x     Pi                      -5 c x + I k0 x     Pi                    -4 c x + I k0 x     Pi                    -3 c x + I k0 x     Pi                    -2 c x + I k0 x     Pi                    -(c x) + I k0 x     Pi                  I k0 x     Pi                   -5 c x + I k0 x     Pi                 -4 c x + I k0 x     Pi                 -3 c x + I k0 x     Pi                 -2 c x + I k0 x     Pi                 -(c x) + I k0 x     Pi               I k0 x     Pi               -5 c x + I k0 x     Pi              -4 c x + I k0 x     Pi              -3 c x + I k0 x     Pi              -2 c x + I k0 x     Pi              -(c x) + I k0 x     Pi           I k0 x      2       Pi           -5 c x + I k0 x      2       Pi             -4 c x + I k0 x      2       Pi              -3 c x + I k0 x      2       Pi              -2 c x + I k0 x      2       Pi             -(c x) + I k0 x      2       Pi                         I k0 x     Pi                          -5 c x + I k0 x     Pi                         -4 c x + I k0 x     Pi                         -3 c x + I k0 x     Pi                         -2 c x + I k0 x     Pi                         -(c x) + I k0 x     Pi                      I k0 x     Pi                       -5 c x + I k0 x     Pi                     -4 c x + I k0 x     Pi                     -3 c x + I k0 x     Pi                     -2 c x + I k0 x     Pi                     -(c x) + I k0 x     Pi                    I k0 x     Pi                    -5 c x + I k0 x     Pi                  -4 c x + I k0 x     Pi                  -3 c x + I k0 x     Pi                  -2 c x + I k0 x     Pi                  -(c x) + I k0 x     Pi                I k0 x     Pi                -5 c x + I k0 x     Pi               -4 c x + I k0 x     Pi               -3 c x + I k0 x     Pi               -2 c x + I k0 x     Pi               -(c x) + I k0 x     Pi             I k0 x     Pi              -5 c x + I k0 x     Pi             -4 c x + I k0 x     Pi             -3 c x + I k0 x     Pi             -2 c x + I k0 x     Pi             -(c x) + I k0 x     Pi
                               13043905875 E       Cos[-- - k x]     13043905875 E                Cos[-- - k x]   65219529375 E                Cos[-- - k x]   65219529375 E                Cos[-- - k x]   65219529375 E                Cos[-- - k x]   65219529375 E                Cos[-- - k x]     2401245 E       Cos[-- - k x]      2401245 E                Cos[-- - k x]   12006225 E                Cos[-- - k x]   12006225 E                Cos[-- - k x]   12006225 E                Cos[-- - k x]   12006225 E                Cos[-- - k x]     3675 E       Cos[-- - k x]      3675 E                Cos[-- - k x]   18375 E                Cos[-- - k x]   18375 E                Cos[-- - k x]   18375 E                Cos[-- - k x]   18375 E                Cos[-- - k x]     9 E       Cos[-- - k x]     9 E                Cos[-- - k x]   45 E                Cos[-- - k x]   45 E                Cos[-- - k x]   45 E                Cos[-- - k x]   45 E                Cos[-- - k x]   E       Sqrt[--] Cos[-- - k x]   E                Sqrt[--] Cos[-- - k x]   5 E                Sqrt[--] Cos[-- - k x]   10 E                Sqrt[--] Cos[-- - k x]   10 E                Sqrt[--] Cos[-- - k x]   5 E                Sqrt[--] Cos[-- - k x]    418854310875 E       Sin[-- - k x]     418854310875 E                Sin[-- - k x]   2094271554375 E                Sin[-- - k x]   2094271554375 E                Sin[-- - k x]   2094271554375 E                Sin[-- - k x]   2094271554375 E                Sin[-- - k x]     57972915 E       Sin[-- - k x]      57972915 E                Sin[-- - k x]   289864575 E                Sin[-- - k x]   289864575 E                Sin[-- - k x]   289864575 E                Sin[-- - k x]   289864575 E                Sin[-- - k x]      59535 E       Sin[-- - k x]      59535 E                Sin[-- - k x]   297675 E                Sin[-- - k x]   297675 E                Sin[-- - k x]   297675 E                Sin[-- - k x]   297675 E                Sin[-- - k x]     75 E       Sin[-- - k x]     75 E                Sin[-- - k x]   375 E                Sin[-- - k x]   375 E                Sin[-- - k x]   375 E                Sin[-- - k x]   375 E                Sin[-- - k x]     E       Sin[-- - k x]      E                Sin[-- - k x]   5 E                Sin[-- - k x]   5 E                Sin[-- - k x]   5 E                Sin[-- - k x]   5 E                Sin[-- - k x]
                                                       4                                              4                                            4                                            4                                            4                                            4                                 4                                           4                                         4                                         4                                         4                                         4                              4                                        4                                      4                                      4                                      4                                      4                           4                                    4                                   4                                   4                                   4                                   4                        Pi      4                                 Pi      4                                   Pi      4                                    Pi      4                                    Pi      4                                   Pi      4                                     4                                               4                                              4                                              4                                              4                                              4                                  4                                            4                                          4                                          4                                          4                                          4                                4                                         4                                       4                                       4                                       4                                       4                            4                                     4                                    4                                    4                                    4                                    4                         4                                   4                                  4                                  4                                  4                                  4
 Integrate::idiv: Integral of ------------------------------------- - ------------------------------------------ + ------------------------------------------ - ------------------------------------------ + ------------------------------------------ - ------------------------------------------ - ---------------------------------- + -------------------------------------- - --------------------------------------- + --------------------------------------- - --------------------------------------- + --------------------------------------- + ------------------------------- - ----------------------------------- + ------------------------------------ - ------------------------------------ + ------------------------------------ - ------------------------------------ - --------------------------- + -------------------------------- - --------------------------------- + --------------------------------- - --------------------------------- + --------------------------------- + ------------------------------ - --------------------------------------- + ----------------------------------------- - ------------------------------------------ + ------------------------------------------ - ----------------------------------------- - ------------------------------------- + ------------------------------------------- - -------------------------------------------- + -------------------------------------------- - -------------------------------------------- + -------------------------------------------- + ----------------------------------- - --------------------------------------- + ---------------------------------------- - ---------------------------------------- + ---------------------------------------- - ---------------------------------------- - --------------------------------- + ------------------------------------ - ------------------------------------- + ------------------------------------- - ------------------------------------- + ------------------------------------- + ---------------------------- - --------------------------------- + ---------------------------------- - ---------------------------------- + ---------------------------------- - ---------------------------------- - -------------------------- + ------------------------------ - -------------------------------- + -------------------------------- - -------------------------------- + -------------------------------- does not converge on {0, Infinity}.
                                         17/2   2             19/2                 17/2   2             19/2                    17/2   2             19/2                    17/2   2             19/2                    17/2   2             19/2                    17/2   2             19/2               13/2   2             15/2              13/2   2             15/2                13/2   2             15/2                 13/2   2             15/2                 13/2   2             15/2                 13/2   2             15/2             9/2   2             11/2            9/2   2             11/2              9/2   2             11/2               9/2   2             11/2               9/2   2             11/2               9/2   2             11/2          5/2   2             7/2         5/2   2             7/2             5/2   2             7/2             5/2   2             7/2             5/2   2             7/2             5/2   2             7/2                       2  3/2                               2  3/2                                     2  3/2                                       2  3/2                                       2  3/2                                      2  3/2                            19/2   2             21/2                  19/2   2             21/2                     19/2   2             21/2                      19/2   2             21/2                      19/2   2             21/2                      19/2   2             21/2                 15/2   2             17/2               15/2   2             17/2                 15/2   2             17/2                  15/2   2             17/2                  15/2   2             17/2                  15/2   2             17/2              11/2   2             13/2            11/2   2             13/2               11/2   2             13/2              11/2   2             13/2               11/2   2             13/2                11/2   2             13/2          7/2   2             9/2          7/2   2             9/2              7/2   2             9/2              7/2   2             9/2              7/2   2             9/2              7/2   2             9/2         3/2   2             5/2        3/2   2             5/2           3/2   2             5/2            3/2   2             5/2            3/2   2             5/2            3/2   2             5/2
                             1073741824 k     k0  Sqrt[2 Pi] x         1073741824 k     k0  Sqrt[2 Pi] x            1073741824 k     k0  Sqrt[2 Pi] x             536870912 k     k0  Sqrt[2 Pi] x             536870912 k     k0  Sqrt[2 Pi] x            1073741824 k     k0  Sqrt[2 Pi] x          2097152 k     k0  Sqrt[2 Pi] x         2097152 k     k0  Sqrt[2 Pi] x           2097152 k     k0  Sqrt[2 Pi] x            1048576 k     k0  Sqrt[2 Pi] x            1048576 k     k0  Sqrt[2 Pi] x            2097152 k     k0  Sqrt[2 Pi] x          16384 k    k0  Sqrt[2 Pi] x         16384 k    k0  Sqrt[2 Pi] x           16384 k    k0  Sqrt[2 Pi] x             8192 k    k0  Sqrt[2 Pi] x             8192 k    k0  Sqrt[2 Pi] x            16384 k    k0  Sqrt[2 Pi] x          64 k    k0  Sqrt[2 Pi] x        64 k    k0  Sqrt[2 Pi] x            64 k    k0  Sqrt[2 Pi] x            32 k    k0  Sqrt[2 Pi] x            32 k    k0  Sqrt[2 Pi] x            64 k    k0  Sqrt[2 Pi] x                Sqrt[k] k0  x                        Sqrt[k] k0  x                              Sqrt[k] k0  x                                Sqrt[k] k0  x                                Sqrt[k] k0  x                               Sqrt[k] k0  x                   8589934592 k     k0  Sqrt[2 Pi] x          8589934592 k     k0  Sqrt[2 Pi] x             8589934592 k     k0  Sqrt[2 Pi] x              4294967296 k     k0  Sqrt[2 Pi] x              4294967296 k     k0  Sqrt[2 Pi] x              8589934592 k     k0  Sqrt[2 Pi] x           16777216 k     k0  Sqrt[2 Pi] x         16777216 k     k0  Sqrt[2 Pi] x           16777216 k     k0  Sqrt[2 Pi] x             8388608 k     k0  Sqrt[2 Pi] x             8388608 k     k0  Sqrt[2 Pi] x            16777216 k     k0  Sqrt[2 Pi] x          131072 k     k0  Sqrt[2 Pi] x        131072 k     k0  Sqrt[2 Pi] x           131072 k     k0  Sqrt[2 Pi] x           65536 k     k0  Sqrt[2 Pi] x            65536 k     k0  Sqrt[2 Pi] x            131072 k     k0  Sqrt[2 Pi] x         512 k    k0  Sqrt[2 Pi] x        512 k    k0  Sqrt[2 Pi] x            512 k    k0  Sqrt[2 Pi] x            256 k    k0  Sqrt[2 Pi] x            256 k    k0  Sqrt[2 Pi] x            512 k    k0  Sqrt[2 Pi] x         4 k    k0  Sqrt[2 Pi] x        4 k    k0  Sqrt[2 Pi] x           4 k    k0  Sqrt[2 Pi] x            2 k    k0  Sqrt[2 Pi] x            2 k    k0  Sqrt[2 Pi] x            4 k    k0  Sqrt[2 Pi] x
 Series[Integrate[(E^(I*k0*x)*(1 - E^(-(c*x)))^5*BesselJ[0, k*x])/(k0^2*x), {x, 0, Infinity}, Assumptions -> n == 0 && q == 2 && κ == 5], {k, Infinity, 10}]
--- a/besseltransforms/5-2-1
+++ b/besseltransforms/5-2-1
@ -1,2 +0,0 @@
 (-10*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 20*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) - 20*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 10*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) - 2*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + k*Sqrt[Pi]*(Piecewise[{{0, k^2/k0^2 <= 1}}, (2*Sqrt[k^2 - k0^2])/(k*Sqrt[Pi])] + I*Piecewise[{{(2*k0)/(k*Sqrt[Pi]), k0^2/k^2 < 1}, {(2*(k0 - Sqrt[-k^2 + k0^2]))/(k*Sqrt[Pi]), k0^2/k^2 > 1}}, 0]))/(2*k*k0^2)
 Piecewise[{{SeriesData[k, Infinity, {(-225*c^6)/(2*k0^2) + ((45*I)*c^5)/k0, 0, (-7875*c^6)/4 + (39375*c^8)/(8*k0^2) - ((5250*I)*c^7)/k0 + (525*I)/2*c^5*k0, 0, (-2205*(2025*c^10 - (3310*I)*c^9*k0 - 2250*c^8*k0^2 + (800*I)*c^7*k0^3 + 150*c^6*k0^4 - (12*I)*c^5*k0^5))/(32*k0^2)}, 6, 11, 1], (k0 <= 0 && k^2/k0^2 > 1) || k0 > 0}}, SeriesData[k, Infinity, {-k0^(-2), 0, 1/2, 0, ((5*c*(c - I*k0)^3)/8 - (5*c*(2*c - I*k0)^3)/2 + (15*c*(3*c - I*k0)^3)/4 - (5*c*(4*c - I*k0)^3)/2 + (5*c*(5*c - I*k0)^3)/8 - (5*I)/8*(c - I*k0)^3*k0 + (5*I)/4*(2*c - I*k0)^3*k0 - (5*I)/4*(3*c - I*k0)^3*k0 + (5*I)/8*(4*c - I*k0)^3*k0 - I/8*(5*c - I*k0)^3*k0)/k0^2, 0, ((-5*c*(c - I*k0)^5)/16 + (5*c*(2*c - I*k0)^5)/4 - (15*c*(3*c - I*k0)^5)/8 + (5*c*(4*c - I*k0)^5)/4 - (5*c*(5*c - I*k0)^5)/16 + (5*I)/16*(c - I*k0)^5*k0 - (5*I)/8*(2*c - I*k0)^5*k0 + (5*I)/8*(3*c - I*k0)^5*k0 - (5*I)/16*(4*c - I*k0)^5*k0 + I/16*(5*c - I*k0)^5*k0)/k0^2, 0, ((25*c*(c - I*k0)^7)/128 - (25*c*(2*c - I*k0)^7)/32 + (75*c*(3*c - I*k0)^7)/64 - (25*c*(4*c - I*k0)^7)/32 + (25*c*(5*c - I*k0)^7)/128 - (25*I)/128*(c - I*k0)^7*k0 + (25*I)/64*(2*c - I*k0)^7*k0 - (25*I)/64*(3*c - I*k0)^7*k0 + (25*I)/128*(4*c - I*k0)^7*k0 - (5*I)/128*(5*c - I*k0)^7*k0)/k0^2, 0, ((-35*c*(c - I*k0)^9)/256 + (35*c*(2*c - I*k0)^9)/64 - (105*c*(3*c - I*k0)^9)/128 + (35*c*(4*c - I*k0)^9)/64 - (35*c*(5*c - I*k0)^9)/256 + (35*I)/256*(c - I*k0)^9*k0 - (35*I)/128*(2*c - I*k0)^9*k0 + (35*I)/128*(3*c - I*k0)^9*k0 - (35*I)/256*(4*c - I*k0)^9*k0 + (7*I)/256*(5*c - I*k0)^9*k0)/k0^2}, 0, 11, 1]]
--- a/besseltransforms/5-2-2
+++ b/besseltransforms/5-2-2
@ -1,2 +0,0 @@
 (-k^2 + 10*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 - 20*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 20*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 - 10*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 2*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + k^2*Sqrt[Pi]*(I*Piecewise[{{0, k^2/k0^2 <= 1}}, (2*k0*Sqrt[k^2 - k0^2])/(k^2*Sqrt[Pi])] + Piecewise[{{(k^2 + 2*k0*(-k0 + Sqrt[-k^2 + k0^2]))/(k^2*Sqrt[Pi]), k^2/k0^2 < 1}, {(1 - (2*k0^2)/k^2)/Sqrt[Pi], k^2/k0^2 > 1}}, 0]))/(2*k^2*k0^2)
 SeriesData[k, Infinity, {(-15*c^5)/k0^2, 0, (-315*c^5)/2 + (1050*c^7)/k0^2 - ((1575*I)/2*c^6)/k0, 0, (-1575*(331*c^9 - (450*I)*c^8*k0 - 240*c^7*k0^2 + (60*I)*c^6*k0^3 + 6*c^5*k0^4))/(16*k0^2)}, 5, 11, 1]
--- a/besseltransforms/5-2-3
+++ b/besseltransforms/5-2-3
@ -1,2 +0,0 @@
 (k^2*(-3 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 4*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 - 5*k^2*(-3 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) - 20*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 10*k^2*(-3 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 40*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 - 10*k^2*(-3 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) - 40*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 5*k^2*(-3 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 20*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 - k^2*(-3 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0) - 4*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^3)/(3*k^3*k0^2)
 SeriesData[k, Infinity, {(735*c^6)/(2*k0^2) - ((105*I)*c^5)/k0, 0, (19845*c^6)/4 - (178605*c^8)/(8*k0^2) + ((17955*I)*c^7)/k0 - (945*I)/2*c^5*k0, 0, (3465*(8547*c^10 - (10870*I)*c^9*k0 - 5670*c^8*k0^2 + (1520*I)*c^7*k0^3 + 210*c^6*k0^4 - (12*I)*c^5*k0^5))/(32*k0^2)}, 6, 11, 1]
--- a/besseltransforms/5-2-4
+++ b/besseltransforms/5-2-4
@ -1,2 +0,0 @@
 (-(k^2*(-2 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2) - 2*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 + 5*k^2*(-2 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 10*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 - 10*k^2*(-2 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 - 20*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 + 10*k^2*(-2 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 20*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 - 5*k^2*(-2 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 - 10*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4 + k^2*(-2 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^2 + 2*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^4)/(k^4*k0^2)
 SeriesData[k, Infinity, {(105*c^5)/k0^2, 0, (945*c^5)/2 - (5985*c^7)/k0^2 + ((6615*I)/2*c^6)/k0, 0, (3465*(1087*c^9 - (1134*I)*c^8*k0 - 456*c^7*k0^2 + (84*I)*c^6*k0^3 + 6*c^5*k0^4))/(16*k0^2)}, 5, 11, 1]
--- a/besseltransforms/5-2-5
+++ b/besseltransforms/5-2-5
@ -1,2 +0,0 @@
 ((k^4*(-5 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5)/(5*k^5) - (k^4*(-5 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5)/k^5 + (2*(k^4*(-5 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5))/k^5 - (2*(k^4*(-5 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5))/k^5 + (k^4*(-5 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^5)/k^5 - (k^4*(-5 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^5)/(5*k^5))/k0^2
 SeriesData[k, Infinity, {(384*c^5)/k0^2, (-6615*c^6)/(2*k0^2) + ((945*I)*c^5)/k0, 0, (-72765*c^6)/4 + (654885*c^8)/(8*k0^2) - ((65835*I)*c^7)/k0 + (3465*I)/2*c^5*k0, 0, (-9009*(8547*c^10 - (10870*I)*c^9*k0 - 5670*c^8*k0^2 + (1520*I)*c^7*k0^3 + 210*c^6*k0^4 - (12*I)*c^5*k0^5))/(32*k0^2)}, 5, 11, 1]
--- a/besseltransforms/5-2-6
+++ b/besseltransforms/5-2-6
@ -1,2 +0,0 @@
 ((k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6)/(6*k^6) - (5*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6))/(6*k^6) + (5*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6))/(3*k^6) - (5*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6))/(3*k^6) + (5*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^6))/(6*k^6) - (k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^6)/(6*k^6))/k0^2
 SeriesData[k, Infinity, {(945*c^5)/k0^2, (-13440*c^6)/k0^2 + ((3840*I)*c^5)/k0, (-10395*c^5)/2 + (65835*c^7)/k0^2 - ((72765*I)/2*c^6)/k0, 0, (-15015*(1087*c^9 - (1134*I)*c^8*k0 - 456*c^7*k0^2 + (84*I)*c^6*k0^3 + 6*c^5*k0^4))/(16*k0^2)}, 5, 11, 1]
--- a/besseltransforms/5-2-7
+++ b/besseltransforms/5-2-7
@ -1,2 +0,0 @@
 ((k^6*(-7 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^7)/(7*k^7) - (5*(k^6*(-7 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^7))/(7*k^7) + (10*(k^6*(-7 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^7))/(7*k^7) - (10*(k^6*(-7 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^7))/(7*k^7) + (5*(k^6*(-7 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^7))/(7*k^7) - (k^6*(-7 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^3 + 16*k^2*(-7 + 5*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^5 + 64*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^7)/(7*k^7))/k0^2
 SeriesData[k, Infinity, {(1920*c^5)/k0^2, (-72765*c^6)/(2*k0^2) + ((10395*I)*c^5)/k0, -23040*c^5 + (291840*c^7)/k0^2 - ((161280*I)*c^6)/k0, (945945*c^6)/4 - (8513505*c^8)/(8*k0^2) + ((855855*I)*c^7)/k0 - (45045*I)/2*c^5*k0, 0, (45045*(8547*c^10 - (10870*I)*c^9*k0 - 5670*c^8*k0^2 + (1520*I)*c^7*k0^3 + 210*c^6*k0^4 - (12*I)*c^5*k0^5))/(32*k0^2)}, 5, 11, 1]
--- a/besseltransforms/5-3-0
+++ b/besseltransforms/5-3-0
@ -1,2 +0,0 @@
 Simplify::time: Time spent on a transformation exceeded 300. seconds, and the transformation was aborted. Increasing the value of TimeConstraint option may improve the result of simplification.
--- a/besseltransforms/5-3-1
+++ b/besseltransforms/5-3-1
@ -1,2 +0,0 @@
 Simplify::time: Time spent on a transformation exceeded 300. seconds, and the transformation was aborted. Increasing the value of TimeConstraint option may improve the result of simplification.
--- a/besseltransforms/5-3-2
+++ b/besseltransforms/5-3-2
@ -1,2 +0,0 @@
 (10*k^2*(3 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) - 20*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 20*k^2*(-3 + 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 40*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 20*k^2*(3 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) - 40*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 10*k^2*(-3 + 2*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 20*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 2*k^2*(3 - 2*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) - 4*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 3*k^2*k0*Sqrt[Pi]*(Piecewise[{{0, k^2/k0^2 <= 1}}, (4*(k^2 - k0^2)^(3/2))/(3*k^2*k0*Sqrt[Pi])] + I*Piecewise[{{(-2*(2*k0*(k0 - Sqrt[-k^2 + k0^2]) + k^2*(-3 + (2*Sqrt[-k^2 + k0^2])/k0)))/(3*k^2*Sqrt[Pi]), k^2/k0^2 < 1}, {(2*(1 - (2*k0^2)/(3*k^2)))/Sqrt[Pi], k^2/k0^2 > 1}}, 0]))/(12*k^2*k0^3)
 SeriesData[k, Infinity, {(75*c^6)/(2*k0^3) - ((15*I)*c^5)/k0^2, 0, (-105*(75*c^8 - (80*I)*c^7*k0 - 30*c^6*k0^2 + (4*I)*c^5*k0^3))/(8*k0^3), 0, (315*(2025*c^10 - (3310*I)*c^9*k0 - 2250*c^8*k0^2 + (800*I)*c^7*k0^3 + 150*c^6*k0^4 - (12*I)*c^5*k0^5))/(32*k0^3)}, 5, 11, 1]
--- a/Show More
+++ b/Show More
Author	SHA1	Message	Date
Marek Nečada	7bcde2faa2	Add URLs to bibtex notes Former-commit-id: 79338902f352e860d6b80454726987ca8ccdf801	2020-06-23 12:14:07 +03:00
Marek Nečada	63c8743221	Supplementary (derivation of 1D and 2D lattice sums) Former-commit-id: bf57f560e9eeb960e92251393dddd33ebbfd1d14	2020-06-23 11:41:48 +03:00
Marek Nečada	f55feab80b	Example figs done. Former-commit-id: df68c97337db3f77c327482efb13fa329edd2eeb	2020-06-23 10:57:05 +03:00
Marek Nečada	a5cf8505f7	Rewrite Ewald intro. Former-commit-id: df9c666b9cb34b45fab00155b0ee2a89f0c7c1e8	2020-06-22 16:29:11 +03:00
Marek Nečada	f756592bc5	Fix eq. (2.19); typography Former-commit-id: 13ff4d97953d74878fcd16c1b2e581fb4284fc65	2020-06-22 16:00:18 +03:00
Marek Nečada	31f8eda4d2	Update acknowlegdments Former-commit-id: e2bf74a2e2a2c6b051070897173aff85994f41ed	2020-06-22 15:29:15 +03:00
Marek Nečada	3ce1210d8a	Rework periodic part. Former-commit-id: 4b15d1e9342e7c6b049c5bd29fd98c9766bf38a4	2020-06-22 15:25:55 +03:00
Marek Nečada	eb26821d11	Put the macros out of the main document. Former-commit-id: 034477deed7f6d6b99095091549ee0bea094d603	2020-06-22 06:11:35 +03:00
Marek Nečada	64b76d97d3	Summary Former-commit-id: 208124cb5f6c85a3fe1174c253fd41322401600e	2020-06-22 06:10:45 +03:00
Marek Nečada	ff932b98f9	Change document class, add keywords and AMS subject specification. Former-commit-id: df441842936877212d3122ead9365307dce5fb2f	2020-06-17 19:28:39 +03:00
Marek Nečada	b5723a4e79	Acknowledgements. Former-commit-id: efa9f7ff4ebd8913aa3b68457e31483229405aea	2020-06-17 14:08:13 +03:00
Marek Nečada	5aa40c12f7	Implement Päivi's suggestions except the Applications part. Former-commit-id: 1a2846bf8762bfa4c22ce7ff2eb83c37cc17da37	2020-06-16 23:28:40 +03:00
Marek Nečada	7573c2987b	Merge branch 'article_wrk' into article Former-commit-id: 91ffb5d42066adae1d3193b9c5125f2d546d3314	2020-06-16 22:34:12 +03:00
Marek Nečada	6092449db4	WIP Former-commit-id: 3ab2f0803f9399fe32c41325b9404f8e0b1ba18c	2020-06-16 22:33:18 +03:00
Marek Nečada	778c4b480a	[DELETED] Former-commit-id: d1d6b756b76c16cf963dcb577b2a6a2090f602df	2020-06-16 22:33:01 +03:00
Marek Nečada	d53214e3bf	WIP examples Former-commit-id: b7b33fa78bea10655c9a447f8b9c1f20ce9a3edd	2020-06-16 22:30:07 +03:00
Marek Nečada	0e45ae0d05	More Päivi's suggestions implemented. Former-commit-id: f391fdb73b126a241e3900d5282841f03abd5fb0	2020-06-16 21:47:30 +03:00
Marek Nečada	8942753a13	Fixes suggested by Päivi up to sect. 3.2 Former-commit-id: 65d31b97bb6aa8feae9118d34ededbd3092e128a	2020-06-16 13:15:31 +03:00
Marek Nečada	8c559ac0b7	"Lisätekstit" implementoitu Former-commit-id: 56165a933a39be3440e5b20427af3eda8027d098	2020-06-16 11:00:55 +03:00
Marek Nečada	07fe3a4645	Adjustment of Ewald parameter. Former-commit-id: 45810dae1a715a12ece882200501c2304528d0a1	2020-06-07 21:53:59 +03:00
Marek Nečada	cb89e208ce	Symmetries in periodic systems. Former-commit-id: bd2806656af8532d17cb4d177990c3f7ffff2c71	2020-06-07 18:26:52 +03:00
Marek Nečada	d8d0efc1b3	Improving the text on symmetries, WIP figs Former-commit-id: 49e6eabb7188f98308c1b6d1661dbd0b89a79a71	2020-06-07 16:30:15 +03:00
Marek Nečada	9bd876c273	WIP hex drawing Former-commit-id: c8e0a1218fe1a16f0903f6fa3a503b9fb8281f9e	2020-06-05 23:38:44 +03:00
Marek Nečada	6648e926db	Trying to draw the images Former-commit-id: 25bf663661f3428ea2a9d7ea0558a479c2a3f50b	2020-06-05 16:43:16 +03:00
Marek Nečada	b80e7607f8	Simplify tr.op. expression. Scattered field in periodic system. Former-commit-id: 0b93f3bdf78a3a3d6a9a2cf628012f80790daebd	2020-06-05 10:59:41 +03:00
Marek Nečada	16f12c041b	Dudom Former-commit-id: c1751edecb537dd0c96ef0642f39c366176e1482	2020-06-04 14:25:11 +03:00
Marek Nečada	e00fcba1cc	WIP tweaking infinite lattice text Former-commit-id: 6d28b1a6a255c787245b822a8db51f1b6bab1cb7	2020-06-03 19:46:27 +03:00
Marek Nečada	9a68cb0293	WIP rewriting lattice sums part. Former-commit-id: 2a61b377bb5f8e675c6e6866a2f161b3bf31f34d	2020-06-01 16:34:25 +03:00
Marek Nečada	43589e0f16	Article WIP Former-commit-id: bad97e3053505df7b110a7a9f4f4607a0cad61c2	2020-03-20 16:47:00 +02:00
Marek Nečada	137e810c13	Square lattice example Former-commit-id: 7921734bf86081fc059b767d92fe00f9cde55384	2020-03-16 16:02:49 +02:00
Marek Nečada	2187af8a92	Dudom. Former-commit-id: 2f1677d7a330c42a22c84d507f3ca4022415bb2f	2020-03-15 21:15:42 +02:00
Marek Nečada	59883d2502	dudopráce Former-commit-id: 12b3c37fb72513f52170400341e6e76dd250bf92	2020-03-15 15:04:18 +02:00
Marek Nečada	768a3aab5d	Intro rewrite Former-commit-id: a98a115412042ae1e3445870e16c104279db278a	2019-11-17 23:34:35 +02:00
Marek Nečada	1bdebd79f6	Intro formulations, refs Former-commit-id: f0f90f0277d3ee8adb21a170a8e69c3fcba560f3	2019-11-17 22:25:36 +02:00
Marek Nečada	ae10691d30	References etc. Former-commit-id: c89c6417e387b6aa228ccdafb4c66438908240d0	2019-11-17 21:26:11 +02:00
Marek Nečada	a3c6bfd4f0	Hex grid image experiments. Former-commit-id: ef25b63cb46c99f726b93521e69921963c0d930a	2019-11-17 00:07:18 +02:00
Marek Nečada	846384b040	Introduction BS, political citations. Former-commit-id: 825added4db2f9f0a7b934e53e493ed790bdd09a	2019-11-14 22:47:13 +02:00
Marek Nečada	2877fdfe3b	Minor stuff; dudom. Former-commit-id: b1eaff6343d892def3cc369df6b01ca661beb152	2019-11-13 23:04:10 +02:00
Marek Nečada	db366b50e4	Branch cuts illustration. Former-commit-id: 4828857eea686da2d221a7c7ebaaf7394159741c	2019-11-13 21:56:05 +02:00
Marek Nečada	fae373c06d	Comment on using Beyn's algorithm. + literature reference update Former-commit-id: aa3050b8cd95b4bd15b120be243298779a31b16a	2019-11-13 14:32:38 +02:00
Marek Nečada	b56c9f8ee3	Implement remaining minor Päivi's comments, comment on Γ branches. Former-commit-id: 985cf66a7fde1b8b66807f82d4e9dc2942419e60	2019-11-13 12:54:14 +02:00
Marek Nečada	3b6dedf4a2	Implement some Päivi's comments. Former-commit-id: a0cc5aec2ef60611d5154b68f55089f7ffac170e	2019-11-12 12:23:46 +02:00
Marek Nečada	21a1313a55	Remove old Bessel transform calculations. These are absolutely unneeded for the article branch and only take space even in shallow copies. Former-commit-id: 58a5d5d29ee689d72d36de1bff11e80669261ad0	2019-11-11 20:55:33 +02:00
Marek Nečada	a578b04a65	Fix sign in absorption cross section formula. Former-commit-id: 695731c1ab4934abf88c6603a696cf5855cd4582	2019-11-07 00:29:41 +02:00
Marek Nečada	f62ce5f700	Fix plane wave expansion coeffs. Former-commit-id: ae5b827ed3b9c7646d1f98d96a784659fb460129	2019-10-13 17:54:48 +03:00
Marek Nečada	04ff84b5c9	Alternative titles. Former-commit-id: 0efe1547c08e9016129b57e41fbb00b710c9cb7b	2019-08-27 10:30:16 +03:00
Marek Nečada	095525337d	Relabel wave number with kappa + other fixes Former-commit-id: e005aa094418e3a1cc80ec88768dfd4e9300acca	2019-08-07 15:50:19 +03:00
Marek Nečada	56180ec86b	Examples draft Former-commit-id: 3b093dc5504c990f4d20c248e0ee8f437a7d9b65	2019-08-07 09:00:48 +03:00
Marek Nečada	9657dc613e	Replace with correct drawing Former-commit-id: 7a3ad9060c7adcb2a5ad5b0e52f4b1eb6ccf0e33	2019-08-07 07:19:38 +03:00
Marek Nečada	9aff527bd9	Rewrite the Ewald summation part. Former-commit-id: 9321d465ed0ba2da536afaab3813873a7ea64ac0	2019-08-07 06:55:47 +03:00
Marek Nečada	46b651d97f	Unify balls notations, some refs etc. Former-commit-id: 69e5ae075b639a6aed4988b9e8801947017026a5	2019-08-06 23:43:01 +03:00
Marek Nečada	2b031d43da	Forgotten edit Former-commit-id: a078dabd8e7e9bde76c0dc428b366fbd9895afa7	2019-08-06 21:15:12 +03:00
Marek Nečada	b5a955a5de	Rewrite intro Former-commit-id: c682efe8f85f9dd03372d0a5b09b091fde11a327	2019-08-06 15:12:55 +03:00
Marek Nečada	8f8cd7ed8a	Rewrite abstract Former-commit-id: 3dc61f87e3be344538989a0e41fe34eb997e3470	2019-08-06 13:16:14 +03:00
Marek Nečada	47fab5f879	Update first part of the intro Former-commit-id: 0066137ef7c695fbf1fbbb92a47164b7a3e8671c	2019-08-06 12:52:06 +03:00
Marek Nečada	2a890c56ac	Implement some of Javier's notes. Former-commit-id: 3881eccd2bbca4975d50c4a749751b7c134d6698	2019-08-06 10:16:53 +03:00
Marek Nečada	c70317dc25	"Rule of thumb" on cutoff Former-commit-id: 79a98d83bd88baab80d454ec4147e4a0b739647c	2019-08-06 09:57:10 +03:00
Marek Nečada	055ad7a1be	Review of the finite multiple scattering group action part. Former-commit-id: ad6e51190c52daa35522daa7654937f642161f60	2019-08-05 18:32:09 +03:00
Marek Nečada	306cb1bef8	Fix representation of spatial inversion. Former-commit-id: b1146f5c199a2fc1e389984c425c5082fb8031b1	2019-08-05 15:47:49 +03:00
Marek Nečada	3fe357fb8a	Fix M = WT -> M = TW + some forgotten changes. Former-commit-id: 4166fb78baf097b52a559ece093454450ed19fbd	2019-08-04 18:24:17 +03:00
Marek Nečada	44b8146fe2	Merge branch 'article' of necada:~/repo/qpms into article Former-commit-id: 82c5c429c2b2925d57979ced34dbab264b007917	2019-08-04 07:35:22 +03:00
Marek Nečada	770899546b	Make it compile without warnings Former-commit-id: 5d6e2c43518d1a65fef4007f5fb4b77a74b8cc0c	2019-08-04 07:35:02 +03:00
Marek Nečada	acd2e1a11d	3j symbol mention Former-commit-id: 867f063d699d6f23baf1eb735ffde0c0c95e89f2	2019-08-04 05:54:08 +03:00
Marek Nečada	600e1e9c55	Rewrite the translation operators in terms of spherical harmonics. Former-commit-id: 74f2ab378f3ba78fbc57807277f30c6eecb32ea3	2019-08-03 14:11:33 +03:00
Marek Nečada	705e61053f	Example of symmetry action in lattices, fig draft. Former-commit-id: c2daba3042f5d17171fe51a0267583c934e3205c	2019-08-03 12:06:54 +03:00
Marek Nečada	64fdeb893e	Fix reference Former-commit-id: b116d0ed5739f545fa985106fce5af6f3051eb4c	2019-08-02 10:11:13 +03:00
		`@ -1,2 +0,0 @@`
			`((k^2(-3 + Sqrt[1 + k^2/(c - Ik0)^2]) + 4(-1 + Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^2)/Sqrt[1 + k^2/(c - Ik0)^2] - (2(k^2(-3 + Sqrt[1 + k^2/(2c - Ik0)^2]) + 4(-1 + Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^2))/Sqrt[1 + k^2/(2c - Ik0)^2] + (k^2(-3 + Sqrt[1 + k^2/(3c - Ik0)^2]) + 4(-1 + Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^2)/Sqrt[1 + k^2/(3c - Ik0)^2])/(k^3*k0)`
			`SeriesData[k, Infinity, {(8c^2)/(kk0), (-15(2c^3 - Ic^2k0))/(kk0), 0, (35(18c^5 - (25I)c^4k0 - 12c^3k0^2 + (2I)c^2k0^3))/(4kk0), 0, (63(-138c^7 + (301I)c^6k0 + 270c^5k0^2 - (125I)c^4k0^3 - 30c^3k0^4 + (3I)c^2k0^5))/(8kk0), 0, (165(3110c^9 - (9075I)c^8k0 - 11592c^7k0^2 + (8428I)c^6k0^3 + 3780c^5k0^4 - (1050I)c^4k0^5 - 168c^3k0^6 + (12I)c^2k0^7))/(64kk0)}, 2, 11, 1]`
		`@ -1,2 +0,0 @@`
			`((k^4 - 4k^2(-2 + Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^2 - 8(-1 + Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^4)/(Sqrt[1 + k^2/(c - Ik0)^2](c - Ik0)) - (2(k^4 - 4k^2(-2 + Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^2 - 8(-1 + Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^4))/(Sqrt[1 + k^2/(2c - Ik0)^2](2c - Ik0)) + (k^4 - 4k^2(-2 + Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^2 - 8(-1 + Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^4)/(Sqrt[1 + k^2/(3c - Ik0)^2](3c - Ik0)))/(k^4k0)`
			SeriesData[k, Infinity, {(15c^2)/(kk0), (-48(2c^3 - Ic^2k0))/(kk0), (35(25c^4 - (24I)c^3k0 - 6c^2k0^2))/(4kk0), 0, (-21(301c^6 - (540I)c^5k0 - 375c^4k0^2 + (120I)c^3k0^3 + 15c^2k0^4))/(8kk0), 0, (-99(-3025c^8 + (7728I)c^7k0 + 8428c^6k0^2 - (5040I)c^5k0^3 - 1750c^4k0^4 + (336I)c^3k0^5 + 28c^2k0^6))/(64kk0), 0, (-143(28501c^10 - (93300I)c^9k0 - 136125c^8k0^2 + (115920I)c^7k0^3 + 63210c^6k0^4 - (22680I)c^5k0^5 - 5250c^4k0^6 + (720I)c^3k0^7 + 45c^2k0^8))/(128k*k0)}, 2, 11, 1]
		`@ -1,2 +0,0 @@`
			((k^4(-5 + Sqrt[1 + k^2/(c - Ik0)^2]) + 4k^2(-5 + 3Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^2 + 16(-1 + Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^4)/Sqrt[1 + k^2/(c - Ik0)^2] - (2(k^4(-5 + Sqrt[1 + k^2/(2c - Ik0)^2]) + 4k^2(-5 + 3Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^2 + 16(-1 + Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^4))/Sqrt[1 + k^2/(2c - Ik0)^2] + (k^4(-5 + Sqrt[1 + k^2/(3c - Ik0)^2]) + 4k^2(-5 + 3Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^2 + 16(-1 + Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^4)/Sqrt[1 + k^2/(3c - Ik0)^2])/(k^5*k0)
			`SeriesData[k, Infinity, {(24c^2)/(kk0), (-105(2c^3 - Ic^2k0))/(kk0), (32(25c^4 - (24I)c^3k0 - 6c^2k0^2))/(kk0), (-315(18c^5 - (25I)c^4k0 - 12c^3k0^2 + (2I)c^2k0^3))/(4kk0), 0, (231(138c^7 - (301I)c^6k0 - 270c^5k0^2 + (125I)c^4k0^3 + 30c^3k0^4 - (3I)c^2k0^5))/(8kk0), 0, (429(-3110c^9 + (9075I)c^8k0 + 11592c^7k0^2 - (8428I)c^6k0^3 - 3780c^5k0^4 + (1050I)c^4k0^5 + 168c^3k0^6 - (12I)c^2k0^7))/(64kk0)}, 2, 11, 1]`
		`@ -1,2 +0,0 @@`
			((k^6 - 6k^4(-3 + Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^2 + 16k^2(3 - 2Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^4 - 32(-1 + Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^6)/(Sqrt[1 + k^2/(c - Ik0)^2](c - Ik0)) - (2(k^6 - 6k^4(-3 + Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^2 + 16k^2(3 - 2Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^4 - 32(-1 + Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^6))/(Sqrt[1 + k^2/(2c - Ik0)^2](2c - Ik0)) + (k^6 - 6k^4(-3 + Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^2 + 16k^2(3 - 2Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^4 - 32(-1 + Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^6)/(Sqrt[1 + k^2/(3c - Ik0)^2](3c - Ik0)))/(k^6k0)
			SeriesData[k, Infinity, {(35c^2)/(kk0), (-192(2c^3 - Ic^2k0))/(kk0), (315(25c^4 - (24I)c^3k0 - 6c^2k0^2))/(4kk0), (-320(18c^5 - (25I)c^4k0 - 12c^3k0^2 + (2I)c^2k0^3))/(kk0), (231(301c^6 - (540I)c^5k0 - 375c^4k0^2 + (120I)c^3k0^3 + 15c^2k0^4))/(8kk0), 0, (429(-3025c^8 + (7728I)c^7k0 + 8428c^6k0^2 - (5040I)c^5k0^3 - 1750c^4k0^4 + (336I)c^3k0^5 + 28c^2k0^6))/(64kk0), 0, (429(28501c^10 - (93300I)c^9k0 - 136125c^8k0^2 + (115920I)c^7k0^3 + 63210c^6k0^4 - (22680I)c^5k0^5 - 5250c^4k0^6 + (720I)c^3k0^7 + 45c^2k0^8))/(128kk0)}, 2, 11, 1]
		`@ -1,2 +0,0 @@`
			((k^6(-7 + Sqrt[1 + k^2/(c - Ik0)^2]) + 8k^4(-7 + 3Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^2 + 16k^2(-7 + 5Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^4 + 64(-1 + Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^6)/Sqrt[1 + k^2/(c - Ik0)^2] - (2(k^6(-7 + Sqrt[1 + k^2/(2c - Ik0)^2]) + 8k^4(-7 + 3Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^2 + 16k^2(-7 + 5Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^4 + 64(-1 + Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^6))/Sqrt[1 + k^2/(2c - Ik0)^2] + (k^6(-7 + Sqrt[1 + k^2/(3c - Ik0)^2]) + 8k^4(-7 + 3Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^2 + 16k^2(-7 + 5Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^4 + 64(-1 + Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^6)/Sqrt[1 + k^2/(3c - Ik0)^2])/(k^7*k0)
			SeriesData[k, Infinity, {(48c^2)/(kk0), (-315(2c^3 - Ic^2k0))/(kk0), (160(25c^4 - (24I)c^3k0 - 6c^2k0^2))/(kk0), (-3465(18c^5 - (25I)c^4k0 - 12c^3k0^2 + (2I)c^2k0^3))/(4kk0), (128(301c^6 - (540I)c^5k0 - 375c^4k0^2 + (120I)c^3k0^3 + 15c^2k0^4))/(kk0), (3003(-138c^7 + (301I)c^6k0 + 270c^5k0^2 - (125I)c^4k0^3 - 30c^3k0^4 + (3I)c^2k0^5))/(8kk0), 0, (2145(3110c^9 - (9075I)c^8k0 - 11592c^7k0^2 + (8428I)c^6k0^3 + 3780c^5k0^4 - (1050I)c^4k0^5 - 168c^3k0^6 + (12I)c^2k0^7))/(64k*k0)}, 2, 11, 1]
		`@ -1,2 +0,0 @@`
			`((-2(-1 + Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0))/k + ((-1 + Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0))/k + (Sqrt[Pi](Piecewise[{{0, k^2/k0^2 <= 1}}, (2Sqrt[k^2 - k0^2])/(kSqrt[Pi])] + IPiecewise[{{(2k0)/(kSqrt[Pi]), k0^2/k^2 < 1}, {(2(k0 - Sqrt[-k^2 + k0^2]))/(k*Sqrt[Pi]), k0^2/k^2 > 1}}, 0]))/2)/k0^2`
			Piecewise[{{SeriesData[k, Infinity, {c^2/k0^2, 0, (3c^2)/2 - (7c^4)/(4k0^2) + ((3I)c^3)/k0, 0, (31c^6 - (90I)c^5k0 - 105c^4k0^2 + (60I)c^3k0^3 + 15c^2k0^4)/(8k0^2), 0, (-5(127c^8 - (504I)c^7k0 - 868c^6k0^2 + (840I)c^5k0^3 + 490c^4k0^4 - (168I)c^3k0^5 - 28c^2k0^6))/(64k0^2), 0, (7(511c^10 - (2550I)c^9k0 - 5715c^8k0^2 + (7560I)c^7k0^3 + 6510c^6k0^4 - (3780I)c^5k0^5 - 1470c^4k0^6 + (360I)c^3k0^7 + 45c^2k0^8))/(128k0^2)}, 2, 11, 1], (k0 <= 0 && k^2/k0^2 > 1) \|\| k0 > 0}}, SeriesData[k, Infinity, {-k0^(-2), 0, (2c^2 + k0^2)/(2k0^2), 0, ((c(c - Ik0)^3)/4 - (c(2c - Ik0)^3)/4 - I/4(c - Ik0)^3k0 + I/8(2c - Ik0)^3k0)/k0^2, 0, (-(c(c - Ik0)^5)/8 + (c(2c - Ik0)^5)/8 + I/8(c - Ik0)^5k0 - I/16(2c - Ik0)^5k0)/k0^2, 0, ((5c(c - Ik0)^7)/64 - (5c(2c - Ik0)^7)/64 - (5I)/64(c - Ik0)^7k0 + (5I)/128(2c - Ik0)^7k0)/k0^2, 0, ((-7c(c - Ik0)^9)/128 + (7c(2c - Ik0)^9)/128 + (7I)/128(c - Ik0)^9k0 - (7I)/256(2c - Ik0)^9k0)/k0^2}, 0, 11, 1]]
		`@ -1,2 +0,0 @@`
			`(-1 + (4(-1 + Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^2)/k^2 - (2(-1 + Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^2)/k^2 + Sqrt[Pi](IPiecewise[{{0, k^2/k0^2 <= 1}}, (2k0Sqrt[k^2 - k0^2])/(k^2Sqrt[Pi])] + Piecewise[{{(k^2 + 2k0(-k0 + Sqrt[-k^2 + k0^2]))/(k^2Sqrt[Pi]), k^2/k0^2 < 1}, {(1 - (2k0^2)/k^2)/Sqrt[Pi], k^2/k0^2 > 1}}, 0]))/(2k0^2)`
			`SeriesData[k, Infinity, {(2c^2)/k0^2, (-3(c^3 - Ic^2k0))/k0^2, 0, (5(3c^5 - (7I)c^4k0 - 6c^3k0^2 + (2I)c^2k0^3))/(4k0^2), 0, (-7(9c^7 - (31I)c^6k0 - 45c^5k0^2 + (35I)c^4k0^3 + 15c^3k0^4 - (3I)c^2k0^5))/(8k0^2), 0, (15(85c^9 - (381I)c^8k0 - 756c^7k0^2 + (868I)c^6k0^3 + 630c^5k0^4 - (294I)c^4k0^5 - 84c^3k0^6 + (12I)c^2k0^7))/(64k0^2)}, 2, 11, 1]`
		`@ -1,2 +0,0 @@`
			`(k^2(-3 + Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0) + 4(-1 + Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^3 - 2k^2(-3 + Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0) - 8(-1 + Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^3 + k^2(-3 + Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0) + 4(-1 + Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^3)/(3k^3*k0^2)`
			SeriesData[k, Infinity, {(3c^2)/k0^2, (-16c^3)/k0^2 + ((8I)c^2)/k0, (-15c^2)/2 + (125c^4)/(4k0^2) - ((30I)c^3)/k0, 0, (-7(301c^6 - (540I)c^5k0 - 375c^4k0^2 + (120I)c^3k0^3 + 15c^2k0^4))/(24k0^2), 0, (9(3025c^8 - (7728I)c^7k0 - 8428c^6k0^2 + (5040I)c^5k0^3 + 1750c^4k0^4 - (336I)c^3k0^5 - 28c^2k0^6))/(64k0^2), 0, (-11(28501c^10 - (93300I)c^9k0 - 136125c^8k0^2 + (115920I)c^7k0^3 + 63210c^6k0^4 - (22680I)c^5k0^5 - 5250c^4k0^6 + (720I)c^3k0^7 + 45c^2k0^8))/(128*k0^2)}, 2, 11, 1]
		`@ -1,2 +0,0 @@`
			`-(2k^2(-2 + Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^2 + 4(-1 + Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^4 - 4k^2(-2 + Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^2 - 8(-1 + Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^4 + 2k^2(-2 + Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^2 + 4(-1 + Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^4)/(2k^4*k0^2)`
			`SeriesData[k, Infinity, {(4c^2)/k0^2, (-30c^3)/k0^2 + ((15I)c^2)/k0, -24c^2 + (100c^4)/k0^2 - ((96I)c^3)/k0, 105c^3 - (315c^5)/(2k0^2) + ((875I)/4c^4)/k0 - (35I)/2c^2k0, 0, (21(138c^7 - (301I)c^6k0 - 270c^5k0^2 + (125I)c^4k0^3 + 30c^3k0^4 - (3I)c^2k0^5))/(8k0^2), 0, (-33(3110c^9 - (9075I)c^8k0 - 11592c^7k0^2 + (8428I)c^6k0^3 + 3780c^5k0^4 - (1050I)c^4k0^5 - 168c^3k0^6 + (12I)c^2k0^7))/(64*k0^2)}, 2, 11, 1]`