qpms/besseltransforms/7-6-5

((k^8*(-315 + 128*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 8*k^6*(-105 + 64*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 48*k^4*(-21 + 16*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + 64*k^2*(-9 + 8*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^7 + 128*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^9)/(120960*k^5) - (k^8*(-315 + 128*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 8*k^6*(-105 + 64*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 48*k^4*(-21 + 16*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5 + 64*k^2*(-9 + 8*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^7 + 128*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^9)/(17280*k^5) + (k^8*(-315 + 128*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 8*k^6*(-105 + 64*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 48*k^4*(-21 + 16*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5 + 64*k^2*(-9 + 8*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^7 + 128*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^9)/(5760*k^5) - (k^8*(-315 + 128*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 8*k^6*(-105 + 64*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 48*k^4*(-21 + 16*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5 + 64*k^2*(-9 + 8*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^7 + 128*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^9)/(3456*k^5) + (k^8*(-315 + 128*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 8*k^6*(-105 + 64*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 48*k^4*(-21 + 16*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^5 + 64*k^2*(-9 + 8*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^7 + 128*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^9)/(3456*k^5) - (k^8*(-315 + 128*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0) + 8*k^6*(-105 + 64*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^3 + 48*k^4*(-21 + 16*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^5 + 64*k^2*(-9 + 8*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^7 + 128*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^9)/(5760*k^5) + (k^8*(-315 + 128*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0) + 8*k^6*(-105 + 64*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^3 + 48*k^4*(-21 + 16*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^5 + 64*k^2*(-9 + 8*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^7 + 128*(-1 + Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^9)/(17280*k^5) - (k^8*(-315 + 128*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0) + 8*k^6*(-105 + 64*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^3 + 48*k^4*(-21 + 16*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^5 + 64*k^2*(-9 + 8*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^7 + 128*(-1 + Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^9)/(120960*k^5))/k0^6
SeriesData[k, Infinity, {(24*c^7)/k0^6, (-945*c^8)/(2*k0^6) + ((105*I)*c^7)/k0^5, (4000*c^9)/k0^6 - ((1728*I)*c^8)/k0^5 - (192*c^7)/k0^4, (-315*(198*c^10 - (125*I)*c^9*k0 - 27*c^8*k0^2 + (2*I)*c^7*k0^3))/(4*k0^6), 0, (231*(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))/(16*k0^6), 0, (-429*(378720*c^14 - (511840*I)*c^13*k0 - 302211*c^12*k0^2 + (101199*I)*c^11*k0^3 + 20790*c^10*k0^4 - (2625*I)*c^9*k0^5 - 189*c^8*k0^6 + (6*I)*c^7*k0^7))/(32*k0^6)}, 3, 11, 1]
Bessel transform mathematica results etc. Former-commit-id: 3dca9d0ccbfefa4c5f3867ce4ba31229646ca2d9 2018-01-15 15:14:15 +02:00			((k^8(-315 + 128Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0) + 8k^6(-105 + 64Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^3 + 48k^4(-21 + 16Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^5 + 64k^2(-9 + 8Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^7 + 128(-1 + Sqrt[1 + k^2/(c - Ik0)^2])(c - Ik0)^9)/(120960k^5) - (k^8(-315 + 128Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0) + 8k^6(-105 + 64Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^3 + 48k^4(-21 + 16Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^5 + 64k^2(-9 + 8Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^7 + 128(-1 + Sqrt[1 + k^2/(2c - Ik0)^2])(2c - Ik0)^9)/(17280k^5) + (k^8(-315 + 128Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0) + 8k^6(-105 + 64Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^3 + 48k^4(-21 + 16Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^5 + 64k^2(-9 + 8Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^7 + 128(-1 + Sqrt[1 + k^2/(3c - Ik0)^2])(3c - Ik0)^9)/(5760k^5) - (k^8(-315 + 128Sqrt[1 + k^2/(4c - Ik0)^2])(4c - Ik0) + 8k^6(-105 + 64Sqrt[1 + k^2/(4c - Ik0)^2])(4c - Ik0)^3 + 48k^4(-21 + 16Sqrt[1 + k^2/(4c - Ik0)^2])(4c - Ik0)^5 + 64k^2(-9 + 8Sqrt[1 + k^2/(4c - Ik0)^2])(4c - Ik0)^7 + 128(-1 + Sqrt[1 + k^2/(4c - Ik0)^2])(4c - Ik0)^9)/(3456k^5) + (k^8(-315 + 128Sqrt[1 + k^2/(5c - Ik0)^2])(5c - Ik0) + 8k^6(-105 + 64Sqrt[1 + k^2/(5c - Ik0)^2])(5c - Ik0)^3 + 48k^4(-21 + 16Sqrt[1 + k^2/(5c - Ik0)^2])(5c - Ik0)^5 + 64k^2(-9 + 8Sqrt[1 + k^2/(5c - Ik0)^2])(5c - Ik0)^7 + 128(-1 + Sqrt[1 + k^2/(5c - Ik0)^2])(5c - Ik0)^9)/(3456k^5) - (k^8(-315 + 128Sqrt[1 + k^2/(6c - Ik0)^2])(6c - Ik0) + 8k^6(-105 + 64Sqrt[1 + k^2/(6c - Ik0)^2])(6c - Ik0)^3 + 48k^4(-21 + 16Sqrt[1 + k^2/(6c - Ik0)^2])(6c - Ik0)^5 + 64k^2(-9 + 8Sqrt[1 + k^2/(6c - Ik0)^2])(6c - Ik0)^7 + 128(-1 + Sqrt[1 + k^2/(6c - Ik0)^2])(6c - Ik0)^9)/(5760k^5) + (k^8(-315 + 128Sqrt[1 + k^2/(7c - Ik0)^2])(7c - Ik0) + 8k^6(-105 + 64Sqrt[1 + k^2/(7c - Ik0)^2])(7c - Ik0)^3 + 48k^4(-21 + 16Sqrt[1 + k^2/(7c - Ik0)^2])(7c - Ik0)^5 + 64k^2(-9 + 8Sqrt[1 + k^2/(7c - Ik0)^2])(7c - Ik0)^7 + 128(-1 + Sqrt[1 + k^2/(7c - Ik0)^2])(7c - Ik0)^9)/(17280k^5) - (k^8(-315 + 128Sqrt[1 + k^2/(8c - Ik0)^2])(8c - Ik0) + 8k^6(-105 + 64Sqrt[1 + k^2/(8c - Ik0)^2])(8c - Ik0)^3 + 48k^4(-21 + 16Sqrt[1 + k^2/(8c - Ik0)^2])(8c - Ik0)^5 + 64k^2(-9 + 8Sqrt[1 + k^2/(8c - Ik0)^2])(8c - Ik0)^7 + 128(-1 + Sqrt[1 + k^2/(8c - Ik0)^2])(8c - Ik0)^9)/(120960k^5))/k0^6
			SeriesData[k, Infinity, {(24c^7)/k0^6, (-945c^8)/(2k0^6) + ((105I)c^7)/k0^5, (4000c^9)/k0^6 - ((1728I)c^8)/k0^5 - (192c^7)/k0^4, (-315(198c^10 - (125I)c^9k0 - 27c^8k0^2 + (2I)c^7k0^3))/(4k0^6), 0, (231(14391c^12 - (14457I)c^11k0 - 5940c^10k0^2 + (1250I)c^9k0^3 + 135c^8k0^4 - (6I)c^7k0^5))/(16k0^6), 0, (-429(378720c^14 - (511840I)c^13k0 - 302211c^12k0^2 + (101199I)c^11k0^3 + 20790c^10k0^4 - (2625I)c^9k0^5 - 189c^8k0^6 + (6I)c^7k0^7))/(32*k0^6)}, 3, 11, 1]