qpms/besseltransforms/7-2-2

3 lines
562 B
Plaintext

(-((-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2) + 7*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 - 21*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 35*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 - 35*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 21*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^2 - 7*(-1 + Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^2 + (-1 + Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^2)/(k^2*k0^2)
SeriesData[k, Infinity, {(315*c^7)/k0^2, 0, (-4725*(125*c^9 - (54*I)*c^8*k0 - 6*c^7*k0^2))/(4*k0^2)}, 7, 11, 1]