qpms/besseltransforms/2-1-4

3 lines
1.0 KiB
Plaintext

((k^4 - 4*k^2*(-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)/(Sqrt[1 + k^2/(c - I*k0)^2]*(c - I*k0)) - (2*(k^4 - 4*k^2*(-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))/(Sqrt[1 + k^2/(2*c - I*k0)^2]*(2*c - I*k0)) + (k^4 - 4*k^2*(-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)/(Sqrt[1 + k^2/(3*c - I*k0)^2]*(3*c - I*k0)))/(k^4*k0)
SeriesData[k, Infinity, {(15*c^2)/(k*k0), (-48*(2*c^3 - I*c^2*k0))/(k*k0), (35*(25*c^4 - (24*I)*c^3*k0 - 6*c^2*k0^2))/(4*k*k0), 0, (-21*(301*c^6 - (540*I)*c^5*k0 - 375*c^4*k0^2 + (120*I)*c^3*k0^3 + 15*c^2*k0^4))/(8*k*k0), 0, (-99*(-3025*c^8 + (7728*I)*c^7*k0 + 8428*c^6*k0^2 - (5040*I)*c^5*k0^3 - 1750*c^4*k0^4 + (336*I)*c^3*k0^5 + 28*c^2*k0^6))/(64*k*k0), 0, (-143*(28501*c^10 - (93300*I)*c^9*k0 - 136125*c^8*k0^2 + (115920*I)*c^7*k0^3 + 63210*c^6*k0^4 - (22680*I)*c^5*k0^5 - 5250*c^4*k0^6 + (720*I)*c^3*k0^7 + 45*c^2*k0^8))/(128*k*k0)}, 2, 11, 1]