qpms/besseltransforms/4-4-7

((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]
Bessel transform mathematica results etc. Former-commit-id: 3dca9d0ccbfefa4c5f3867ce4ba31229646ca2d9 2018-01-15 15:14:15 +02:00			((k^8(-105 + 16Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0) + 8k^6(-105 + 44Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^3 + 144k^4(-14 + 9Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^5 + 320k^2(-6 + 5Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^7 + 640(-1 + Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^9)/(5040k^7) - (k^8(-105 + 16Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0) + 8k^6(-105 + 44Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^3 + 144k^4(-14 + 9Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^5 + 320k^2(-6 + 5Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^7 + 640(-1 + Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^9)/(1260k^7) + (k^8(-105 + 16Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0) + 8k^6(-105 + 44Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^3 + 144k^4(-14 + 9Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^5 + 320k^2(-6 + 5Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^7 + 640(-1 + Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^9)/(840k^7) - (k^8(-105 + 16Sqrt[1 + k^2/(4c - Ik0)^2])(4c - Ik0) + 8k^6(-105 + 44Sqrt[1 + k^2/(4c - Ik0)^2])(4c - Ik0)^3 + 144k^4(-14 + 9Sqrt[1 + k^2/(4c - Ik0)^2])(4c - Ik0)^5 + 320k^2(-6 + 5Sqrt[1 + k^2/(4c - Ik0)^2])(4c - Ik0)^7 + 640(-1 + Sqrt[1 + k^2/(4c - Ik0)^2])(4c - Ik0)^9)/(1260k^7) + (k^8(-105 + 16Sqrt[1 + k^2/(5c - Ik0)^2])(5c - Ik0) + 8k^6(-105 + 44Sqrt[1 + k^2/(5c - Ik0)^2])(5c - Ik0)^3 + 144k^4(-14 + 9Sqrt[1 + k^2/(5c - Ik0)^2])(5c - Ik0)^5 + 320k^2(-6 + 5Sqrt[1 + k^2/(5c - Ik0)^2])(5c - Ik0)^7 + 640(-1 + Sqrt[1 + k^2/(5c - Ik0)^2])(5c - Ik0)^9)/(5040k^7))/k0^4
			SeriesData[k, Infinity, {(7c^4)/k0^4, (-48(3c^5 - Ic^4k0))/k0^4, (105(28c^6 - (18I)c^5k0 - 3c^4k0^2))/(2k0^4), (-320(30c^7 - (28I)c^6k0 - 9c^5k0^2 + Ic^4k0^3))/k0^4, (693(993c^8 - (1200I)c^7k0 - 560c^6k0^2 + (120I)c^5k0^3 + 10c^4k0^4))/(16k0^4), (-64(2025c^9 - (2979I)c^8k0 - 1800c^7k0^2 + (560I)c^6k0^3 + 90c^5k0^4 - (6I)c^4k0^5))/k0^4, (143(49346c^10 - (85050I)c^9k0 - 62559c^8k0^2 + (25200I)c^7k0^3 + 5880c^6k0^4 - (756I)c^5k0^5 - 42c^4k0^6))/(32k0^4), 0, ((-13(c - Ik0)^12)/3072 + (13(2c - Ik0)^12)/768 - (13(3c - Ik0)^12)/512 + (13(4c - Ik0)^12)/768 - (13(5c - Ik0)^12)/3072)/k0^4}, 2, 11, 1]