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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/08.01.26.0048.01









  


  








Input Form





(UnitStep[Abs[z] - 1]/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[{-Infinity, -1}], 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