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Bessel transform mathematica results etc. Former-commit-id: 3dca9d0ccbfefa4c5f3867ce4ba31229646ca2d9
2018-01-15 15:14:15 +02:00
((k^6*(-35 + 16*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 2*k^4*(-35 + 24*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 8*k^2*(-7 + 6*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + 16*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^7)/(1680*k^4) - (k^6*(-35 + 16*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 2*k^4*(-35 + 24*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 8*k^2*(-7 + 6*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5 + 16*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^7)/(280*k^4) + (k^6*(-35 + 16*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 2*k^4*(-35 + 24*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 8*k^2*(-7 + 6*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5 + 16*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^7)/(112*k^4) - (k^6*(-35 + 16*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 2*k^4*(-35 + 24*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 8*k^2*(-7 + 6*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5 + 16*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^7)/(84*k^4) + (k^6*(-35 + 16*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 2*k^4*(-35 + 24*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 8*k^2*(-7 + 6*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^5 + 16*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^7)/(112*k^4) - (k^6*(-35 + 16*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0) + 2*k^4*(-35 + 24*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^3 + 8*k^2*(-7 + 6*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^5 + 16*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^7)/(280*k^4) + (k^6*(-35 + 16*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0) + 2*k^4*(-35 + 24*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^3 + 8*k^2*(-7 + 6*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^5 + 16*(-1 + Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^7)/(1680*k^4))/k0^5
SeriesData[k, Infinity, {(15*c^6)/k0^5, (-192*c^7)/k0^5 + ((48*I)*c^6)/k0^4, (105*(33*c^8 - (16*I)*c^7*k0 - 2*c^6*k0^2))/(4*k0^5), 0, (-63*(3047*c^10 - (2800*I)*c^9*k0 - 990*c^8*k0^2 + (160*I)*c^7*k0^3 + 10*c^6*k0^4))/(16*k0^5), 0, (33*(259792*c^12 - (342216*I)*c^11*k0 - 191961*c^10*k0^2 + (58800*I)*c^9*k0^3 + 10395*c^8*k0^4 - (1008*I)*c^7*k0^5 - 42*c^6*k0^6))/(32*k0^5)}, 3, 11, 1]