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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==0 > For the function itself





http://functions.wolfram.com/08.01.06.0025.01









  


  








Input Form





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