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EllipticK




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/08.02.26.0099.01









  


  








Input Form





(Sqrt[1 + z^2] - z) EllipticK[(4 z Sqrt[1 + z^2])/(z + Sqrt[1 + z^2])^2] == (1/2) MeijerG[{{1/2, 1/2}, {}}, {{0}, {0}}, z, 1/2] /; !IntervalMemberQ[Interval[{-Infinity, -1}], I z] && !IntervalMemberQ[Interval[{1, Infinity}], I 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