qpms/besseltransforms/2-3-4

3 lines
998 B
Plaintext

(-2*(k^4*(-15 + 4*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5) + k^4*(-15 + 4*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + k^4*(-15 + 4*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5)/(60*k^4*k0^3)
SeriesData[k, Infinity, {c^2/k0^3, (-4*(2*c^3 - I*c^2*k0))/k0^3, (5*(25*c^4 - (24*I)*c^3*k0 - 6*c^2*k0^2))/(4*k0^3), (-4*(18*c^5 - (25*I)*c^4*k0 - 12*c^3*k0^2 + (2*I)*c^2*k0^3))/k0^3, (7*(301*c^6 - (540*I)*c^5*k0 - 375*c^4*k0^2 + (120*I)*c^3*k0^3 + 15*c^2*k0^4))/(24*k0^3), 0, ((-45*(c - I*k0)^8)/32 + (45*(2*c - I*k0)^8)/16 - (45*(3*c - I*k0)^8)/32)/(60*k0^3), 0, ((33*(c - I*k0)^10)/64 - (33*(2*c - I*k0)^10)/32 + (33*(3*c - I*k0)^10)/64)/(60*k0^3)}, 1, 11, 1]