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qpms/besseltransforms/6-3-6

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Bessel transform mathematica results etc. Former-commit-id: 3dca9d0ccbfefa4c5f3867ce4ba31229646ca2d9
2018-01-15 15:14:15 +02:00
((k^6*(-35 + 6*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(c - I*k0)^2])*(c - I*k0)^7)/(210*k^6) - (k^6*(-35 + 6*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(2*c - I*k0)^2])*(2*c - I*k0)^7)/(35*k^6) + (k^6*(-35 + 6*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(3*c - I*k0)^2])*(3*c - I*k0)^7)/(14*k^6) - (2*(k^6*(-35 + 6*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(4*c - I*k0)^2])*(4*c - I*k0)^7))/(21*k^6) + (k^6*(-35 + 6*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(5*c - I*k0)^2])*(5*c - I*k0)^7)/(14*k^6) - (k^6*(-35 + 6*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(6*c - I*k0)^2])*(6*c - I*k0)^7)/(35*k^6) + (k^6*(-35 + 6*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0) + 6*k^4*(-35 + 17*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^3 + 16*k^2*(-21 + 16*Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^5 + 160*(-1 + Sqrt[1 + k^2/(7*c - I*k0)^2])*(7*c - I*k0)^7)/(210*k^6))/k0^3
SeriesData[k, Infinity, {(945*c^6)/k0^3, (-15360*c^7)/k0^3 + ((3840*I)*c^6)/k0^2, (10395*(33*c^8 - (16*I)*c^7*k0 - 2*c^6*k0^2))/(4*k0^3), 0, (-90090*I)*c^7 - (27450423*c^10)/(16*k0^3) + ((1576575*I)*c^9)/k0^2 + (4459455*c^8)/(8*k0) - (45045*c^6*k0)/8}, 5, 11, 1]