qpms/besseltransforms/7-1-4

((k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4)/(k^4*Sqrt[1 + k^2/(c - I*k0)^2]*(c - I*k0)) - (7*(k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4))/(k^4*Sqrt[1 + k^2/(2*c - I*k0)^2]*(2*c - I*k0)) + (21*(k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4))/(k^4*Sqrt[1 + k^2/(3*c - I*k0)^2]*(3*c - I*k0)) - (35*(k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4))/(k^4*Sqrt[1 + k^2/(4*c - I*k0)^2]*(4*c - I*k0)) + (35*(k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4))/(k^4*Sqrt[1 + k^2/(5*c - I*k0)^2]*(5*c - I*k0)) - (21*(k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^4))/(k^4*Sqrt[1 + k^2/(6*c - I*k0)^2]*(6*c - I*k0)) + (7*(k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^4))/(k^4*Sqrt[1 + k^2/(7*c - I*k0)^2]*(7*c - I*k0)) - (k^4 - 4*k^2*(-2 + Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^2 - 8*(-1 + Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^4)/(k^4*Sqrt[1 + k^2/(8*c - I*k0)^2]*(8*c - I*k0)))/k0
SeriesData[k, Infinity, {((31185*I)*c^7)/k - (280665*c^8)/(2*k*k0), 0, (675675*(198*c^10 - (125*I)*c^9*k0 - 27*c^8*k0^2 + (2*I)*c^7*k0^3))/(4*k*k0)}, 8, 11, 1]