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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/08.01.26.0038.01









  


  








Input Form





(UnitStep[1 - Abs[z]]/Sqrt[-Sqrt[-1 + z] + Sqrt[z]]) EllipticE[(2 Sqrt[-1 + z])/(Sqrt[-1 + z] + Sqrt[z])] == (Pi/2) MeijerG[{{}, {1/4, 5/4}}, {{0, 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