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variants of this functions
EllipticE






Mathematica Notation

Traditional Notation









Elliptic Integrals > EllipticE[z] > Series representations > Generalized power series > Expansions at z==infinity > For the function itself





http://functions.wolfram.com/08.01.06.0034.01









  


  










Input Form





EllipticE[z] == Subscript[F, Infinity][z] /; Subscript[F, n][z] == Sqrt[-z] + (1/Sqrt[-z]) Sum[((Pochhammer[-(1/2), 1 + k]^2/(k! (1 + k)!)) (Log[-z] - PolyGamma[1/2 - k] - PolyGamma[1/2 + k] + 2 PolyGamma[k + 1] + 1/(k + 1)))/z^k, {k, 0, m}] == EllipticE[z] - (1/4) MeijerG[{{-(1/2) - m, -(1/2) - m}, {1/2, 3/2}}, {{0, -(1/2) - m, -(1/2) - m}, {0}}, -z] && Element[m, Integers] && m >= 0










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02





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