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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 unit step theta





http://functions.wolfram.com/08.01.26.0046.01









  


  










Input Form





(UnitStep[1 - Abs[z]]/Sqrt[1 - Sqrt[1 - z]]) EllipticE[(2 Sqrt[1 - z] (1 - Sqrt[1 - z]))/z] == (Pi/2) MeijerG[{{}, {1/4, 3/4}}, {{-(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