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EllipticK






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/08.02.26.0011.01









  


  










Input Form





(Sqrt[Sqrt[1 + z] - 1]/Sqrt[1 + z]) EllipticK[(2 (Sqrt[1 + z] - 1))/z] == (Pi/(2 Gamma[3/4]^2)) MeijerG[{{3/4}, {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





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