qpms/besseltransforms/2-2-5

3 lines
1001 B
Plaintext

(-2*(k^4*(-5 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5) + k^4*(-5 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + k^4*(-5 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 4*k^2*(-5 + 3*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 16*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5)/(5*k^5*k0^2)
SeriesData[k, Infinity, {(5*c^2)/k0^2, (-24*(2*c^3 - I*c^2*k0))/k0^2, (35*(25*c^4 - (24*I)*c^3*k0 - 6*c^2*k0^2))/(4*k0^2), (-32*(18*c^5 - (25*I)*c^4*k0 - 12*c^3*k0^2 + (2*I)*c^2*k0^3))/k0^2, (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*k0^2), 0, ((-165*(c - I*k0)^8)/128 + (165*(2*c - I*k0)^8)/64 - (165*(3*c - I*k0)^8)/128)/(5*k0^2), 0, ((143*(c - I*k0)^10)/256 - (143*(2*c - I*k0)^10)/128 + (143*(3*c - I*k0)^10)/256)/(5*k0^2)}, 2, 11, 1]