qpms/besseltransforms/7-7-7

((231*k^12 + 4*k^10*(693 - 256*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 40*k^8*(231 - 128*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 + 64*k^6*(231 - 160*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6 + 128*k^4*(99 - 80*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^8 + 512*k^2*(11 - 10*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^10 - 1024*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^12)/(10644480*k^7) - (231*k^12 + 4*k^10*(693 - 256*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 40*k^8*(231 - 128*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 64*k^6*(231 - 160*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6 + 128*k^4*(99 - 80*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^8 + 512*k^2*(11 - 10*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^10 - 1024*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^12)/(1520640*k^7) + (231*k^12 + 4*k^10*(693 - 256*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 40*k^8*(231 - 128*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 + 64*k^6*(231 - 160*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6 + 128*k^4*(99 - 80*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^8 + 512*k^2*(11 - 10*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^10 - 1024*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^12)/(506880*k^7) - (231*k^12 + 4*k^10*(693 - 256*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 40*k^8*(231 - 128*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 + 64*k^6*(231 - 160*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6 + 128*k^4*(99 - 80*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^8 + 512*k^2*(11 - 10*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^10 - 1024*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^12)/(304128*k^7) + (231*k^12 + 4*k^10*(693 - 256*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 40*k^8*(231 - 128*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4 + 64*k^6*(231 - 160*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^6 + 128*k^4*(99 - 80*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^8 + 512*k^2*(11 - 10*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^10 - 1024*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^12)/(304128*k^7) - (231*k^12 + 4*k^10*(693 - 256*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^2 + 40*k^8*(231 - 128*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^4 + 64*k^6*(231 - 160*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^6 + 128*k^4*(99 - 80*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^8 + 512*k^2*(11 - 10*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^10 - 1024*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^12)/(506880*k^7) + (231*k^12 + 4*k^10*(693 - 256*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^2 + 40*k^8*(231 - 128*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^4 + 64*k^6*(231 - 160*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^6 + 128*k^4*(99 - 80*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^8 + 512*k^2*(11 - 10*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^10 - 1024*(-1 + Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^12)/(1520640*k^7) - (231*k^12 + 4*k^10*(693 - 256*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^2 + 40*k^8*(231 - 128*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^4 + 64*k^6*(231 - 160*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^6 + 128*k^4*(99 - 80*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^8 + 512*k^2*(11 - 10*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^10 - 1024*(-1 + Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^12)/(10644480*k^7))/k0^7
SeriesData[k, Infinity, {(7*c^7)/k0^7, (-24*(9*c^8 - (2*I)*c^7*k0))/k0^7, (105*(125*c^9 - (54*I)*c^8*k0 - 6*c^7*k0^2))/(4*k0^7), (-160*(198*c^10 - (125*I)*c^9*k0 - 27*c^8*k0^2 + (2*I)*c^7*k0^3))/k0^7, (693*(4819*c^11 - (3960*I)*c^10*k0 - 1250*c^9*k0^2 + (180*I)*c^8*k0^3 + 10*c^7*k0^4))/(16*k0^7), (-64*(14391*c^12 - (14457*I)*c^11*k0 - 5940*c^10*k0^2 + (1250*I)*c^9*k0^3 + 135*c^8*k0^4 - (6*I)*c^7*k0^5))/k0^7, (1001*(73120*c^13 - (86346*I)*c^12*k0 - 43371*c^11*k0^2 + (11880*I)*c^10*k0^3 + 1875*c^9*k0^4 - (162*I)*c^8*k0^5 - 6*c^7*k0^6))/(32*k0^7), 0, (-429*(4992457*c^15 - (7574400*I)*c^14*k0 - 5118400*c^13*k0^2 + (2014740*I)*c^12*k0^3 + 505995*c^11*k0^4 - (83160*I)*c^10*k0^5 - 8750*c^9*k0^6 + (540*I)*c^8*k0^7 + 15*c^7*k0^8))/(128*k0^7)}, 2, 11, 1]
Bessel transform mathematica results etc. Former-commit-id: 3dca9d0ccbfefa4c5f3867ce4ba31229646ca2d9 2018-01-15 15:14:15 +02:00			((231k^12 + 4k^10(693 - 256Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^2 + 40k^8(231 - 128Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^4 + 64k^6(231 - 160Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^6 + 128k^4(99 - 80Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^8 + 512k^2(11 - 10Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^10 - 1024(-1 + Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^12)/(10644480k^7) - (231k^12 + 4k^10(693 - 256Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^2 + 40k^8(231 - 128Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^4 + 64k^6(231 - 160Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^6 + 128k^4(99 - 80Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^8 + 512k^2(11 - 10Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^10 - 1024(-1 + Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^12)/(1520640k^7) + (231k^12 + 4k^10(693 - 256Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^2 + 40k^8(231 - 128Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^4 + 64k^6(231 - 160Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^6 + 128k^4(99 - 80Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^8 + 512k^2(11 - 10Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^10 - 1024(-1 + Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^12)/(506880k^7) - (231k^12 + 4k^10(693 - 256Sqrt[1 + k^2/(4c - Ik0)^2])(4c - Ik0)^2 + 40k^8(231 - 128Sqrt[1 + k^2/(4c - Ik0)^2])(4c - Ik0)^4 + 64k^6(231 - 160Sqrt[1 + k^2/(4c - Ik0)^2])(4c - Ik0)^6 + 128k^4(99 - 80Sqrt[1 + k^2/(4c - Ik0)^2])(4c - Ik0)^8 + 512k^2(11 - 10Sqrt[1 + k^2/(4c - Ik0)^2])(4c - Ik0)^10 - 1024(-1 + Sqrt[1 + k^2/(4c - Ik0)^2])(4c - Ik0)^12)/(304128k^7) + (231k^12 + 4k^10(693 - 256Sqrt[1 + k^2/(5c - Ik0)^2])(5c - Ik0)^2 + 40k^8(231 - 128Sqrt[1 + k^2/(5c - Ik0)^2])(5c - Ik0)^4 + 64k^6(231 - 160Sqrt[1 + k^2/(5c - Ik0)^2])(5c - Ik0)^6 + 128k^4(99 - 80Sqrt[1 + k^2/(5c - Ik0)^2])(5c - Ik0)^8 + 512k^2(11 - 10Sqrt[1 + k^2/(5c - Ik0)^2])(5c - Ik0)^10 - 1024(-1 + Sqrt[1 + k^2/(5c - Ik0)^2])(5c - Ik0)^12)/(304128k^7) - (231k^12 + 4k^10(693 - 256Sqrt[1 + k^2/(6c - Ik0)^2])(6c - Ik0)^2 + 40k^8(231 - 128Sqrt[1 + k^2/(6c - Ik0)^2])(6c - Ik0)^4 + 64k^6(231 - 160Sqrt[1 + k^2/(6c - Ik0)^2])(6c - Ik0)^6 + 128k^4(99 - 80Sqrt[1 + k^2/(6c - Ik0)^2])(6c - Ik0)^8 + 512k^2(11 - 10Sqrt[1 + k^2/(6c - Ik0)^2])(6c - Ik0)^10 - 1024(-1 + Sqrt[1 + k^2/(6c - Ik0)^2])(6c - Ik0)^12)/(506880k^7) + (231k^12 + 4k^10(693 - 256Sqrt[1 + k^2/(7c - Ik0)^2])(7c - Ik0)^2 + 40k^8(231 - 128Sqrt[1 + k^2/(7c - Ik0)^2])(7c - Ik0)^4 + 64k^6(231 - 160Sqrt[1 + k^2/(7c - Ik0)^2])(7c - Ik0)^6 + 128k^4(99 - 80Sqrt[1 + k^2/(7c - Ik0)^2])(7c - Ik0)^8 + 512k^2(11 - 10Sqrt[1 + k^2/(7c - Ik0)^2])(7c - Ik0)^10 - 1024(-1 + Sqrt[1 + k^2/(7c - Ik0)^2])(7c - Ik0)^12)/(1520640k^7) - (231k^12 + 4k^10(693 - 256Sqrt[1 + k^2/(8c - Ik0)^2])(8c - Ik0)^2 + 40k^8(231 - 128Sqrt[1 + k^2/(8c - Ik0)^2])(8c - Ik0)^4 + 64k^6(231 - 160Sqrt[1 + k^2/(8c - Ik0)^2])(8c - Ik0)^6 + 128k^4(99 - 80Sqrt[1 + k^2/(8c - Ik0)^2])(8c - Ik0)^8 + 512k^2(11 - 10Sqrt[1 + k^2/(8c - Ik0)^2])(8c - Ik0)^10 - 1024(-1 + Sqrt[1 + k^2/(8c - Ik0)^2])(8c - Ik0)^12)/(10644480k^7))/k0^7
			SeriesData[k, Infinity, {(7c^7)/k0^7, (-24(9c^8 - (2I)c^7k0))/k0^7, (105(125c^9 - (54I)c^8k0 - 6c^7k0^2))/(4k0^7), (-160(198c^10 - (125I)c^9k0 - 27c^8k0^2 + (2I)c^7k0^3))/k0^7, (693(4819c^11 - (3960I)c^10k0 - 1250c^9k0^2 + (180I)c^8k0^3 + 10c^7k0^4))/(16k0^7), (-64(14391c^12 - (14457I)c^11k0 - 5940c^10k0^2 + (1250I)c^9k0^3 + 135c^8k0^4 - (6I)c^7k0^5))/k0^7, (1001(73120c^13 - (86346I)c^12k0 - 43371c^11k0^2 + (11880I)c^10k0^3 + 1875c^9k0^4 - (162I)c^8k0^5 - 6c^7k0^6))/(32k0^7), 0, (-429(4992457c^15 - (7574400I)c^14k0 - 5118400c^13k0^2 + (2014740I)c^12k0^3 + 505995c^11k0^4 - (83160I)c^10k0^5 - 8750c^9k0^6 + (540I)c^8k0^7 + 15c^7k0^8))/(128*k0^7)}, 2, 11, 1]