qpms/besseltransforms/6-3-5

((5*k^6 + 12*k^4*(5 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 8*k^2*(15 - 11*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 - 64*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6)/(120*k^5) - (5*k^6 + 12*k^4*(5 - 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 8*k^2*(15 - 11*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 - 64*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6)/(20*k^5) + (5*k^6 + 12*k^4*(5 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 8*k^2*(15 - 11*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 - 64*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6)/(8*k^5) - (5*k^6 + 12*k^4*(5 - 2*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 8*k^2*(15 - 11*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 - 64*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6)/(6*k^5) + (5*k^6 + 12*k^4*(5 - 2*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 8*k^2*(15 - 11*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4 - 64*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^6)/(8*k^5) - (5*k^6 + 12*k^4*(5 - 2*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^2 + 8*k^2*(15 - 11*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^4 - 64*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^6)/(20*k^5) + (5*k^6 + 12*k^4*(5 - 2*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^2 + 8*k^2*(15 - 11*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^4 - 64*(-1 + Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^6)/(120*k^5))/k0^3
SeriesData[k, Infinity, {(384*c^6)/k0^3, (-3780*c^7)/k0^3 + ((945*I)*c^6)/k0^2, 0, (3465*I)/2*c^6 + (121275*c^9)/k0^3 - ((343035*I)/4*c^8)/k0^2 - (20790*c^7)/k0, 0, (-27027*(2716*c^11 - (3047*I)*c^10*k0 - 1400*c^9*k0^2 + (330*I)*c^8*k0^3 + 40*c^7*k0^4 - (2*I)*c^6*k0^5))/(16*k0^3)}, 5, 11, 1]