qpms/besseltransforms/7-1-2

3 lines
1.2 KiB
Plaintext

(-7*(1/(Sqrt[1 + k^2/(2*c - I*k0)^2]*(2*c - I*k0)) - (2*(2*c - I*k0))/k^2 + (2*(2*c - I*k0))/(k^2*Sqrt[1 + k^2/(2*c - I*k0)^2])) + 21*(1/(Sqrt[1 + k^2/(3*c - I*k0)^2]*(3*c - I*k0)) - (2*(3*c - I*k0))/k^2 + (2*(3*c - I*k0))/(k^2*Sqrt[1 + k^2/(3*c - I*k0)^2])) - 35*(1/(Sqrt[1 + k^2/(4*c - I*k0)^2]*(4*c - I*k0)) - (2*(4*c - I*k0))/k^2 + (2*(4*c - I*k0))/(k^2*Sqrt[1 + k^2/(4*c - I*k0)^2])) + 35*(1/(Sqrt[1 + k^2/(5*c - I*k0)^2]*(5*c - I*k0)) - (2*(5*c - I*k0))/k^2 + (2*(5*c - I*k0))/(k^2*Sqrt[1 + k^2/(5*c - I*k0)^2])) - 21*(1/(Sqrt[1 + k^2/(6*c - I*k0)^2]*(6*c - I*k0)) - (2*(6*c - I*k0))/k^2 + (2*(6*c - I*k0))/(k^2*Sqrt[1 + k^2/(6*c - I*k0)^2])) + 7*(1/(Sqrt[1 + k^2/(7*c - I*k0)^2]*(7*c - I*k0)) - (2*(7*c - I*k0))/k^2 + (2*(7*c - I*k0))/(k^2*Sqrt[1 + k^2/(7*c - I*k0)^2])) + 1/(Sqrt[1 + k^2/(c - I*k0)^2]*(c - I*k0)) - (2*(c - I*k0))/k^2 + (2*(c - I*k0))/(k^2*Sqrt[1 + k^2/(c - I*k0)^2]) - 1/(Sqrt[1 + k^2/(8*c - I*k0)^2]*(8*c - I*k0)) + (2*(8*c - I*k0))/k^2 - (2*(8*c - I*k0))/(k^2*Sqrt[1 + k^2/(8*c - I*k0)^2]))/k0
SeriesData[k, Infinity, {((-14175*I)*c^7)/k + (127575*c^8)/(2*k*k0), 0, (-363825*(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]