qpms/besseltransforms/2-1-3

((k^2*(-3 + Sqrt[1 + k^2/(c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2)/Sqrt[1 + k^2/(c - I*k0)^2] - (2*(k^2*(-3 + Sqrt[1 + k^2/(2*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2))/Sqrt[1 + k^2/(2*c - I*k0)^2] + (k^2*(-3 + Sqrt[1 + k^2/(3*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2)/Sqrt[1 + k^2/(3*c - I*k0)^2])/(k^3*k0)
SeriesData[k, Infinity, {(8*c^2)/(k*k0), (-15*(2*c^3 - I*c^2*k0))/(k*k0), 0, (35*(18*c^5 - (25*I)*c^4*k0 - 12*c^3*k0^2 + (2*I)*c^2*k0^3))/(4*k*k0), 0, (63*(-138*c^7 + (301*I)*c^6*k0 + 270*c^5*k0^2 - (125*I)*c^4*k0^3 - 30*c^3*k0^4 + (3*I)*c^2*k0^5))/(8*k*k0), 0, (165*(3110*c^9 - (9075*I)*c^8*k0 - 11592*c^7*k0^2 + (8428*I)*c^6*k0^3 + 3780*c^5*k0^4 - (1050*I)*c^4*k0^5 - 168*c^3*k0^6 + (12*I)*c^2*k0^7))/(64*k*k0)}, 2, 11, 1]