qpms/besseltransforms/7-3-3

3 lines
1.3 KiB
Plaintext

((3*k^4 + 4*k^2*(3 - 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)/(24*k^3) - (7*(3*k^4 + 4*k^2*(3 - 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))/(24*k^3) + (7*(3*k^4 + 4*k^2*(3 - 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))/(8*k^3) - (35*(3*k^4 + 4*k^2*(3 - 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))/(24*k^3) + (35*(3*k^4 + 4*k^2*(3 - 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))/(24*k^3) - (7*(3*k^4 + 4*k^2*(3 - 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))/(8*k^3) + (7*(3*k^4 + 4*k^2*(3 - 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))/(24*k^3) - (3*k^4 + 4*k^2*(3 - 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)/(24*k^3))/k0^3
SeriesData[k, Infinity, {(-105*c^7)/k0^3, 0, (945*(125*c^9 - (54*I)*c^8*k0 - 6*c^7*k0^2))/(4*k0^3), 0, (-10395*(4819*c^11 - (3960*I)*c^10*k0 - 1250*c^9*k0^2 + (180*I)*c^8*k0^3 + 10*c^7*k0^4))/(16*k0^3)}, 6, 11, 1]