qpms/besseltransforms/5-5-4

((k^6*(-35 + 16*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 2*k^4*(-35 + 24*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 8*k^2*(-7 + 6*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + 16*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^7)/(1680*k^4) - (k^6*(-35 + 16*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 2*k^4*(-35 + 24*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 8*k^2*(-7 + 6*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5 + 16*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^7)/(336*k^4) + (k^6*(-35 + 16*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 2*k^4*(-35 + 24*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 8*k^2*(-7 + 6*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5 + 16*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^7)/(168*k^4) - (k^6*(-35 + 16*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 2*k^4*(-35 + 24*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 8*k^2*(-7 + 6*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5 + 16*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^7)/(168*k^4) + (k^6*(-35 + 16*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 2*k^4*(-35 + 24*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 8*k^2*(-7 + 6*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^5 + 16*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^7)/(336*k^4) - (k^6*(-35 + 16*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0) + 2*k^4*(-35 + 24*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^3 + 8*k^2*(-7 + 6*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^5 + 16*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^7)/(1680*k^4))/k0^5
SeriesData[k, Infinity, {(4*c^5)/k0^5, (-105*c^6)/(2*k0^5) + ((15*I)*c^5)/k0^4, (304*c^7)/k0^5 - ((168*I)*c^6)/k0^4 - (24*c^5)/k0^3, (-35*(189*c^8 - (152*I)*c^7*k0 - 42*c^6*k0^2 + (4*I)*c^5*k0^3))/(8*k0^5), 0, (21*(8547*c^10 - (10870*I)*c^9*k0 - 5670*c^8*k0^2 + (1520*I)*c^7*k0^3 + 210*c^6*k0^4 - (12*I)*c^5*k0^5))/(32*k0^5), 0, (-33*(141232*c^12 - (240664*I)*c^11*k0 - 179487*c^10*k0^2 + (76090*I)*c^9*k0^3 + 19845*c^8*k0^4 - (3192*I)*c^7*k0^5 - 294*c^6*k0^6 + (12*I)*c^5*k0^7))/(64*k0^5)}, 2, 11, 1]