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variants of this functions
EllipticE




Mathematica Notation

Traditional Notation









Elliptic Integrals > EllipticE[z] > Representations through more general functions > Through Meijer G > Classical cases involving algebraic functions





http://functions.wolfram.com/08.01.26.0012.01









  


  








Input Form





(1/(Sqrt[1 + z] Sqrt[-1 + Sqrt[1 + z]])) EllipticE[2/(1 + Sqrt[1 + z])] == ((2 Pi)/Gamma[1/4]^2) MeijerG[{{1/4}, {1/4}}, {{-(1/2), 1/2}, {}}, z] /; !IntervalMemberQ[Interval[{-1, 0}], z]








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)





2001-10-29