3 lines
2.9 KiB
Plaintext
3 lines
2.9 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)/(6720*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)/(2688*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)/(2016*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)/(2688*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)/(6720*k^7) + (21*k^10 + 4*k^8*(105 - 32*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^2 + 112*k^6*(15 - 8*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^4 + 384*k^4*(7 - 5*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^6 + 128*k^2*(15 - 13*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^8 - 512*(-1 + Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^10)/(40320*k^7))/k0^5
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SeriesData[k, Infinity, {(48*c^6)/k0^5, (-1260*c^7)/k0^5 + ((315*I)*c^6)/k0^4, (15840*c^8)/k0^5 - ((7680*I)*c^7)/k0^4 - (960*c^6)/k0^3, (-3465*(140*c^9 - (99*I)*c^8*k0 - 24*c^7*k0^2 + (2*I)*c^6*k0^3))/(4*k0^5), (585024*c^10)/k0^5 - ((537600*I)*c^9)/k0^4 - (190080*c^8)/k0^3 + ((30720*I)*c^7)/k0^2 + (1920*c^6)/k0, (-9009*(2716*c^11 - (3047*I)*c^10*k0 - 1400*c^9*k0^2 + (330*I)*c^8*k0^3 + 40*c^7*k0^4 - (2*I)*c^6*k0^5))/(16*k0^5), 0, (2145*(172480*c^13 - (259792*I)*c^12*k0 - 171108*c^11*k0^2 + (63987*I)*c^10*k0^3 + 14700*c^9*k0^4 - (2079*I)*c^8*k0^5 - 168*c^7*k0^6 + (6*I)*c^6*k0^7))/(32*k0^5)}, 3, 11, 1]
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