3 lines
3.9 KiB
Plaintext
3 lines
3.9 KiB
Plaintext
((231*k^12 + 4*k^10*(693 - 256*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2 + 40*k^8*(231 - 128*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^4 + 64*k^6*(231 - 160*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^6 + 128*k^4*(99 - 80*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^8 + 512*k^2*(11 - 10*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^10 - 1024*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^12)/(10644480*k^7) - (231*k^12 + 4*k^10*(693 - 256*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2 + 40*k^8*(231 - 128*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^4 + 64*k^6*(231 - 160*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^6 + 128*k^4*(99 - 80*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^8 + 512*k^2*(11 - 10*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^10 - 1024*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^12)/(1520640*k^7) + (231*k^12 + 4*k^10*(693 - 256*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2 + 40*k^8*(231 - 128*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^4 + 64*k^6*(231 - 160*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^6 + 128*k^4*(99 - 80*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^8 + 512*k^2*(11 - 10*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^10 - 1024*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^12)/(506880*k^7) - (231*k^12 + 4*k^10*(693 - 256*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2 + 40*k^8*(231 - 128*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^4 + 64*k^6*(231 - 160*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^6 + 128*k^4*(99 - 80*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^8 + 512*k^2*(11 - 10*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^10 - 1024*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^12)/(304128*k^7) + (231*k^12 + 4*k^10*(693 - 256*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2 + 40*k^8*(231 - 128*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^4 + 64*k^6*(231 - 160*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^6 + 128*k^4*(99 - 80*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^8 + 512*k^2*(11 - 10*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^10 - 1024*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^12)/(304128*k^7) - (231*k^12 + 4*k^10*(693 - 256*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^2 + 40*k^8*(231 - 128*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^4 + 64*k^6*(231 - 160*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^6 + 128*k^4*(99 - 80*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^8 + 512*k^2*(11 - 10*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^10 - 1024*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^12)/(506880*k^7) + (231*k^12 + 4*k^10*(693 - 256*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^2 + 40*k^8*(231 - 128*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^4 + 64*k^6*(231 - 160*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^6 + 128*k^4*(99 - 80*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^8 + 512*k^2*(11 - 10*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^10 - 1024*(-1 + Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^12)/(1520640*k^7) - (231*k^12 + 4*k^10*(693 - 256*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^2 + 40*k^8*(231 - 128*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^4 + 64*k^6*(231 - 160*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^6 + 128*k^4*(99 - 80*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^8 + 512*k^2*(11 - 10*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^10 - 1024*(-1 + Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^12)/(10644480*k^7))/k0^7
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SeriesData[k, Infinity, {(7*c^7)/k0^7, (-24*(9*c^8 - (2*I)*c^7*k0))/k0^7, (105*(125*c^9 - (54*I)*c^8*k0 - 6*c^7*k0^2))/(4*k0^7), (-160*(198*c^10 - (125*I)*c^9*k0 - 27*c^8*k0^2 + (2*I)*c^7*k0^3))/k0^7, (693*(4819*c^11 - (3960*I)*c^10*k0 - 1250*c^9*k0^2 + (180*I)*c^8*k0^3 + 10*c^7*k0^4))/(16*k0^7), (-64*(14391*c^12 - (14457*I)*c^11*k0 - 5940*c^10*k0^2 + (1250*I)*c^9*k0^3 + 135*c^8*k0^4 - (6*I)*c^7*k0^5))/k0^7, (1001*(73120*c^13 - (86346*I)*c^12*k0 - 43371*c^11*k0^2 + (11880*I)*c^10*k0^3 + 1875*c^9*k0^4 - (162*I)*c^8*k0^5 - 6*c^7*k0^6))/(32*k0^7), 0, (-429*(4992457*c^15 - (7574400*I)*c^14*k0 - 5118400*c^13*k0^2 + (2014740*I)*c^12*k0^3 + 505995*c^11*k0^4 - (83160*I)*c^10*k0^5 - 8750*c^9*k0^6 + (540*I)*c^8*k0^7 + 15*c^7*k0^8))/(128*k0^7)}, 2, 11, 1]
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