5 lines
5.2 KiB
Plaintext
5 lines
5.2 KiB
Plaintext
((-5*(k^2*(-3 + Sqrt[1 + k^2/(c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2))/(k^3*Sqrt[1 + k^2/(c - I*k0)^2]) + (10*(k^2*(-3 + Sqrt[1 + k^2/(2*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2))/(k^3*Sqrt[1 + k^2/(2*c - I*k0)^2]) - (10*(k^2*(-3 + Sqrt[1 + k^2/(3*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2))/(k^3*Sqrt[1 + k^2/(3*c - I*k0)^2]) + (5*(k^2*(-3 + Sqrt[1 + k^2/(4*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2))/(k^3*Sqrt[1 + k^2/(4*c - I*k0)^2]) - (k^2*(-3 + Sqrt[1 + k^2/(5*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2)/(k^3*Sqrt[1 + k^2/(5*c - I*k0)^2]) + (k^2*(1 - (3*k0)/Sqrt[-k^2 + k0^2]) + 4*k0^2*(-1 + k0/Sqrt[-k^2 + k0^2]))/k^3)/k0
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((-5*(Power(k,2)*(-3 + Sqrt(1 + Power(k,2)/Power(c - Complex(0,1)*k0,2))) + 4*(-1 + Sqrt(1 + Power(k,2)/Power(c - Complex(0,1)*k0,2)))*Power(c - Complex(0,1)*k0,2)))/(Power(k,3)*Sqrt(1 + Power(k,2)/Power(c - Complex(0,1)*k0,2))) + (10*(Power(k,2)*(-3 + Sqrt(1 + Power(k,2)/Power(2*c - Complex(0,1)*k0,2))) + 4*(-1 + Sqrt(1 + Power(k,2)/Power(2*c - Complex(0,1)*k0,2)))*Power(2*c - Complex(0,1)*k0,2)))/(Power(k,3)*Sqrt(1 + Power(k,2)/Power(2*c - Complex(0,1)*k0,2))) - (10*(Power(k,2)*(-3 + Sqrt(1 + Power(k,2)/Power(3*c - Complex(0,1)*k0,2))) + 4*(-1 + Sqrt(1 + Power(k,2)/Power(3*c - Complex(0,1)*k0,2)))*Power(3*c - Complex(0,1)*k0,2)))/(Power(k,3)*Sqrt(1 + Power(k,2)/Power(3*c - Complex(0,1)*k0,2))) + (5*(Power(k,2)*(-3 + Sqrt(1 + Power(k,2)/Power(4*c - Complex(0,1)*k0,2))) + 4*(-1 + Sqrt(1 + Power(k,2)/Power(4*c - Complex(0,1)*k0,2)))*Power(4*c - Complex(0,1)*k0,2)))/(Power(k,3)*Sqrt(1 + Power(k,2)/Power(4*c - Complex(0,1)*k0,2))) - (Power(k,2)*(-3 + Sqrt(1 + Power(k,2)/Power(5*c - Complex(0,1)*k0,2))) + 4*(-1 + Sqrt(1 + Power(k,2)/Power(5*c - Complex(0,1)*k0,2)))*Power(5*c - Complex(0,1)*k0,2))/(Power(k,3)*Sqrt(1 + Power(k,2)/Power(5*c - Complex(0,1)*k0,2))) + (Power(k,2)*(1 - (3*k0)/Sqrt(-Power(k,2) + Power(k0,2))) + 4*Power(k0,2)*(-1 + k0/Sqrt(-Power(k,2) + Power(k0,2))))/Power(k,3))/k0
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SeriesData[k, Infinity, {-(1/(k*k0)), (k - (3*I)*k0)/(k*k0), (I*(3*k - (4*I)*k0))/k, (-8*k*k0 + (5*I)*k0^2)/(2*k), ((3*(5*c - I*k0)^4)/(8*k) - (5*I)/2*k0^3 - (3*(5*c - I*k0)^3*((5*c)/k - (I*k0)/k))/8 - 5*((-3*(c - I*k0)^4)/(8*k) + (3*(c - I*k0)^3*(c/k - (I*k0)/k))/8) + 10*((-3*(2*c - I*k0)^4)/(8*k) + (3*(2*c - I*k0)^3*((2*c)/k - (I*k0)/k))/8) - 10*((-3*(3*c - I*k0)^4)/(8*k) + (3*(3*c - I*k0)^3*((3*c)/k - (I*k0)/k))/8) + 5*((-3*(4*c - I*k0)^4)/(8*k) + (3*(4*c - I*k0)^3*((4*c)/k - (I*k0)/k))/8))/k0, ((-2*(5*c - I*k0)^5)/k + (9*(5*c - I*k0)^4*((5*c)/k - (I*k0)/k))/8 - 5*((2*(c - I*k0)^5)/k - (9*(c - I*k0)^4*(c/k - (I*k0)/k))/8) + 10*((2*(2*c - I*k0)^5)/k - (9*(2*c - I*k0)^4*((2*c)/k - (I*k0)/k))/8) - 10*((2*(3*c - I*k0)^5)/k - (9*(3*c - I*k0)^4*((3*c)/k - (I*k0)/k))/8) + 5*((2*(4*c - I*k0)^5)/k - (9*(4*c - I*k0)^4*((4*c)/k - (I*k0)/k))/8))/k0, ((11*(5*c - I*k0)^6)/(8*k) - (7*I)/8*k0^5 - (11*(5*c - I*k0)^5*((5*c)/k - (I*k0)/k))/8 - 5*((-11*(c - I*k0)^6)/(8*k) + (11*(c - I*k0)^5*(c/k - (I*k0)/k))/8) + 10*((-11*(2*c - I*k0)^6)/(8*k) + (11*(2*c - I*k0)^5*((2*c)/k - (I*k0)/k))/8) - 10*((-11*(3*c - I*k0)^6)/(8*k) + (11*(3*c - I*k0)^5*((3*c)/k - (I*k0)/k))/8) + 5*((-11*(4*c - I*k0)^6)/(8*k) + (11*(4*c - I*k0)^5*((4*c)/k - (I*k0)/k))/8))/k0, ((45*(c - I*k0)^6*(c/k - (I*k0)/k))/16 - (45*(2*c - I*k0)^6*((2*c)/k - (I*k0)/k))/8 + (45*(3*c - I*k0)^6*((3*c)/k - (I*k0)/k))/8 - (45*(4*c - I*k0)^6*((4*c)/k - (I*k0)/k))/16 + (9*(5*c - I*k0)^6*((5*c)/k - (I*k0)/k))/16)/k0, ((-55*(5*c - I*k0)^8)/(128*k) - (9*I)/16*k0^7 + (55*(5*c - I*k0)^7*((5*c)/k - (I*k0)/k))/128 - 5*((55*(c - I*k0)^8)/(128*k) - (55*(c - I*k0)^7*(c/k - (I*k0)/k))/128) + 10*((55*(2*c - I*k0)^8)/(128*k) - (55*(2*c - I*k0)^7*((2*c)/k - (I*k0)/k))/128) - 10*((55*(3*c - I*k0)^8)/(128*k) - (55*(3*c - I*k0)^7*((3*c)/k - (I*k0)/k))/128) + 5*((55*(4*c - I*k0)^8)/(128*k) - (55*(4*c - I*k0)^7*((4*c)/k - (I*k0)/k))/128))/k0, ((-275*(c - I*k0)^8*(c/k - (I*k0)/k))/128 + (275*(2*c - I*k0)^8*((2*c)/k - (I*k0)/k))/64 - (275*(3*c - I*k0)^8*((3*c)/k - (I*k0)/k))/64 + (275*(4*c - I*k0)^8*((4*c)/k - (I*k0)/k))/128 - (55*(5*c - I*k0)^8*((5*c)/k - (I*k0)/k))/128)/k0, ((15*(5*c - I*k0)^10)/(64*k) - (55*I)/128*k0^9 - (15*(5*c - I*k0)^9*((5*c)/k - (I*k0)/k))/64 - 5*((-15*(c - I*k0)^10)/(64*k) + (15*(c - I*k0)^9*(c/k - (I*k0)/k))/64) + 10*((-15*(2*c - I*k0)^10)/(64*k) + (15*(2*c - I*k0)^9*((2*c)/k - (I*k0)/k))/64) - 10*((-15*(3*c - I*k0)^10)/(64*k) + (15*(3*c - I*k0)^9*((3*c)/k - (I*k0)/k))/64) + 5*((-15*(4*c - I*k0)^10)/(64*k) + (15*(4*c - I*k0)^9*((4*c)/k - (I*k0)/k))/64))/k0}, 0, 11, 1]
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((-5*(k^2*(-3 + Sqrt[1 + k^2/(c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^2))/Sqrt[1 + k^2/(c - I*k0)^2] + (10*(k^2*(-3 + Sqrt[1 + k^2/(2*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^2))/Sqrt[1 + k^2/(2*c - I*k0)^2] - (10*(k^2*(-3 + Sqrt[1 + k^2/(3*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^2))/Sqrt[1 + k^2/(3*c - I*k0)^2] + (5*(k^2*(-3 + Sqrt[1 + k^2/(4*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^2))/Sqrt[1 + k^2/(4*c - I*k0)^2] - (k^2*(-3 + Sqrt[1 + k^2/(5*c - I*k0)^2]) + 4*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^2)/Sqrt[1 + k^2/(5*c - I*k0)^2] + k^2*(1 - (3*k0)/Sqrt[-k^2 + k0^2]) + 4*k0^2*(-1 + k0/Sqrt[-k^2 + k0^2]))/(k^3*k0)
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