qpms/besseltransforms/7-1-6

3 lines
2.0 KiB
Plaintext

((k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6)/(k^6*Sqrt[1 + k^2/(c - I*k0)^2]*(c - I*k0)) - (7*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6))/(k^6*Sqrt[1 + k^2/(2*c - I*k0)^2]*(2*c - I*k0)) + (21*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6))/(k^6*Sqrt[1 + k^2/(3*c - I*k0)^2]*(3*c - I*k0)) - (35*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6))/(k^6*Sqrt[1 + k^2/(4*c - I*k0)^2]*(4*c - I*k0)) + (35*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^6))/(k^6*Sqrt[1 + k^2/(5*c - I*k0)^2]*(5*c - I*k0)) - (21*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^6))/(k^6*Sqrt[1 + k^2/(6*c - I*k0)^2]*(6*c - I*k0)) + (7*(k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^6))/(k^6*Sqrt[1 + k^2/(7*c - I*k0)^2]*(7*c - I*k0)) - (k^6 - 6*k^4*(-3 + Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^2 + 16*k^2*(3 - 2*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^4 - 32*(-1 + Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^6)/(k^6*Sqrt[1 + k^2/(8*c - I*k0)^2]*(8*c - I*k0)))/k0
SeriesData[k, Infinity, {((-135135*I)*c^7)/k + (1216215*c^8)/(2*k*k0), 0, (-2027025*(198*c^10 - (125*I)*c^9*k0 - 27*c^8*k0^2 + (2*I)*c^7*k0^3))/(4*k*k0)}, 8, 11, 1]