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qpms/besseltransforms/7-3-4

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Bessel transform mathematica results etc. Former-commit-id: 3dca9d0ccbfefa4c5f3867ce4ba31229646ca2d9
2018-01-15 15:14:15 +02:00
((k^4*(-15 + 4*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5)/(60*k^4) - (7*(k^4*(-15 + 4*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5))/(60*k^4) + (7*(k^4*(-15 + 4*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5))/(20*k^4) - (7*(k^4*(-15 + 4*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5))/(12*k^4) + (7*(k^4*(-15 + 4*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^5))/(12*k^4) - (7*(k^4*(-15 + 4*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^5))/(20*k^4) + (7*(k^4*(-15 + 4*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^5))/(60*k^4) - (k^4*(-15 + 4*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0) + 4*k^2*(-10 + 7*Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^3 + 24*(-1 + Sqrt[1 + k^2/(8*c - I*k0)^2])*(8*c - I*k0)^5)/(60*k^4))/k0^3
SeriesData[k, Infinity, {(8505*c^8)/(2*k0^3) - ((945*I)*c^7)/k0^2, 0, (-10395*(198*c^10 - (125*I)*c^9*k0 - 27*c^8*k0^2 + (2*I)*c^7*k0^3))/(4*k0^3)}, 7, 11, 1]