qpms/besseltransforms/4-3-7

((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]