qpms/besseltransforms/6-4-3

3 lines
1.6 KiB
Plaintext

((k^4*(-15 + 8*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 4*k^2*(-5 + 4*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 8*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5)/(120*k^3) - (k^4*(-15 + 8*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 4*k^2*(-5 + 4*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 8*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5)/(20*k^3) + (k^4*(-15 + 8*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 4*k^2*(-5 + 4*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 8*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5)/(8*k^3) - (k^4*(-15 + 8*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 4*k^2*(-5 + 4*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 8*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5)/(6*k^3) + (k^4*(-15 + 8*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 4*k^2*(-5 + 4*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 8*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^5)/(8*k^3) - (k^4*(-15 + 8*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0) + 4*k^2*(-5 + 4*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^3 + 8*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^5)/(20*k^3) + (k^4*(-15 + 8*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0) + 4*k^2*(-5 + 4*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^3 + 8*(-1 + Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^5)/(120*k^3))/k0^4
SeriesData[k, Infinity, {(15*c^6)/k0^4, 0, (-105*(33*c^8 - (16*I)*c^7*k0 - 2*c^6*k0^2))/(4*k0^4), 0, (189*(3047*c^10 - (2800*I)*c^9*k0 - 990*c^8*k0^2 + (160*I)*c^7*k0^3 + 10*c^6*k0^4))/(16*k0^4), 0, (-165*(259792*c^12 - (342216*I)*c^11*k0 - 191961*c^10*k0^2 + (58800*I)*c^9*k0^3 + 10395*c^8*k0^4 - (1008*I)*c^7*k0^5 - 42*c^6*k0^6))/(32*k0^4)}, 4, 11, 1]