qpms/besseltransforms/4-1-7

((k^6*(-7 + Sqrt[1 + k^2/(c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 16*k^2*(-7 + 5*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)/(k^7*Sqrt[1 + k^2/(c - I*k0)^2]) - (4*(k^6*(-7 + Sqrt[1 + k^2/(2*c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*k^2*(-7 + 5*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))/(k^7*Sqrt[1 + k^2/(2*c - I*k0)^2]) + (6*(k^6*(-7 + Sqrt[1 + k^2/(3*c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 16*k^2*(-7 + 5*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))/(k^7*Sqrt[1 + k^2/(3*c - I*k0)^2]) - (4*(k^6*(-7 + Sqrt[1 + k^2/(4*c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 16*k^2*(-7 + 5*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))/(k^7*Sqrt[1 + k^2/(4*c - I*k0)^2]) + (k^6*(-7 + Sqrt[1 + k^2/(5*c - I*k0)^2]) + 8*k^4*(-7 + 3*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 16*k^2*(-7 + 5*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)/(k^7*Sqrt[1 + k^2/(5*c - I*k0)^2]))/k0
SeriesData[k, Infinity, {(1920*c^4)/(k*k0), ((10395*I)*c^4)/k - (31185*c^5)/(k*k0), (7680*(28*c^6 - (18*I)*c^5*k0 - 3*c^4*k0^2))/(k*k0), (-45045*(30*c^7 - (28*I)*c^6*k0 - 9*c^5*k0^2 + I*c^4*k0^3))/(2*k*k0), 0, (45045*(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*k*k0)}, 4, 11, 1]