3 lines
2.5 KiB
Plaintext
3 lines
2.5 KiB
Plaintext
((k^8*(-315 + 64*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 16*k^6*(-105 + 52*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 48*k^4*(-63 + 44*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + 64*k^2*(-36 + 31*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^7 + 640*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^9)/(60480*k^6) - (k^8*(-315 + 64*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 16*k^6*(-105 + 52*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 48*k^4*(-63 + 44*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5 + 64*k^2*(-36 + 31*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^7 + 640*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^9)/(12096*k^6) + (k^8*(-315 + 64*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 16*k^6*(-105 + 52*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 48*k^4*(-63 + 44*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5 + 64*k^2*(-36 + 31*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^7 + 640*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^9)/(6048*k^6) - (k^8*(-315 + 64*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 16*k^6*(-105 + 52*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 48*k^4*(-63 + 44*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5 + 64*k^2*(-36 + 31*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^7 + 640*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^9)/(6048*k^6) + (k^8*(-315 + 64*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 16*k^6*(-105 + 52*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 48*k^4*(-63 + 44*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^5 + 64*k^2*(-36 + 31*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^7 + 640*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^9)/(12096*k^6) - (k^8*(-315 + 64*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0) + 16*k^6*(-105 + 52*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^3 + 48*k^4*(-63 + 44*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^5 + 64*k^2*(-36 + 31*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^7 + 640*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^9)/(60480*k^6))/k0^5
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SeriesData[k, Infinity, {(6*c^5)/k0^5, (-245*c^6)/(2*k0^5) + ((35*I)*c^5)/k0^4, (1216*c^7)/k0^5 - ((672*I)*c^6)/k0^4 - (96*c^5)/k0^3, (-315*(189*c^8 - (152*I)*c^7*k0 - 42*c^6*k0^2 + (4*I)*c^5*k0^3))/(8*k0^5), (86960*c^9)/(3*k0^5) - ((30240*I)*c^8)/k0^4 - (12160*c^7)/k0^3 + ((2240*I)*c^6)/k0^2 + (160*c^5)/k0, (-231*(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))/(32*k0^5), 0, (143*(141232*c^12 - (240664*I)*c^11*k0 - 179487*c^10*k0^2 + (76090*I)*c^9*k0^3 + 19845*c^8*k0^4 - (3192*I)*c^7*k0^5 - 294*c^6*k0^6 + (12*I)*c^5*k0^7))/(64*k0^5)}, 2, 11, 1]
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