3 lines
2.7 KiB
Plaintext
3 lines
2.7 KiB
Plaintext
((21*k^10 + 4*k^8*(105 - 32*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 112*k^6*(15 - 8*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 + 384*k^4*(7 - 5*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6 + 128*k^2*(15 - 13*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^8 - 512*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^10)/(40320*k^7) - (21*k^10 + 4*k^8*(105 - 32*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 112*k^6*(15 - 8*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 384*k^4*(7 - 5*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6 + 128*k^2*(15 - 13*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^8 - 512*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^10)/(8064*k^7) + (21*k^10 + 4*k^8*(105 - 32*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 112*k^6*(15 - 8*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 + 384*k^4*(7 - 5*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6 + 128*k^2*(15 - 13*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^8 - 512*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^10)/(4032*k^7) - (21*k^10 + 4*k^8*(105 - 32*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 112*k^6*(15 - 8*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 + 384*k^4*(7 - 5*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6 + 128*k^2*(15 - 13*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^8 - 512*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^10)/(4032*k^7) + (21*k^10 + 4*k^8*(105 - 32*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 112*k^6*(15 - 8*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4 + 384*k^4*(7 - 5*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^6 + 128*k^2*(15 - 13*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^8 - 512*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^10)/(8064*k^7) - (21*k^10 + 4*k^8*(105 - 32*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^2 + 112*k^6*(15 - 8*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^4 + 384*k^4*(7 - 5*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^6 + 128*k^2*(15 - 13*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^8 - 512*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^10)/(40320*k^7))/k0^5
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SeriesData[k, Infinity, {(7*c^5)/k0^5, (-24*(7*c^6 - (2*I)*c^5*k0))/k0^5, (105*(38*c^7 - (21*I)*c^6*k0 - 3*c^5*k0^2))/(2*k0^5), (-80*(189*c^8 - (152*I)*c^7*k0 - 42*c^6*k0^2 + (4*I)*c^5*k0^3))/k0^5, (1155*(1087*c^9 - (1134*I)*c^8*k0 - 456*c^7*k0^2 + (84*I)*c^6*k0^3 + 6*c^5*k0^4))/(16*k0^5), (-32*(8547*c^10 - (10870*I)*c^9*k0 - 5670*c^8*k0^2 + (1520*I)*c^7*k0^3 + 210*c^6*k0^4 - (12*I)*c^5*k0^5))/k0^5, (143*(120332*c^11 - (179487*I)*c^10*k0 - 114135*c^9*k0^2 + (39690*I)*c^8*k0^3 + 7980*c^7*k0^4 - (882*I)*c^6*k0^5 - 42*c^5*k0^6))/(32*k0^5), 0, (-715*(443611*c^13 - (847392*I)*c^12*k0 - 721992*c^11*k0^2 + (358974*I)*c^10*k0^3 + 114135*c^9*k0^4 - (23814*I)*c^8*k0^5 - 3192*c^7*k0^6 + (252*I)*c^6*k0^7 + 9*c^5*k0^8))/(128*k0^5)}, 2, 11, 1]
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