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variants of this functions
EllipticE




Mathematica Notation

Traditional Notation









Elliptic Integrals > EllipticE[z,m] > Series representations > Other series representations > Expansions E(sin-1(z)|m) at z==0





http://functions.wolfram.com/08.04.06.0079.01









  


  








Input Form





EllipticE[ArcSin[z], m] == Sum[((m^k Pochhammer[-(1/2), k])/((2 k + 1) k!)) Hypergeometric2F1[1/2, -k, 1/2 - k, 1/m] z^(2 k + 1), {k, 0, Infinity}] /; Abs[z] < 1








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