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EllipticK






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/08.02.26.0071.01









  


  










Input Form





UnitStep[-1 + Abs[z]] Sqrt[-Sqrt[-1 + z] + Sqrt[z]] EllipticK[2 (-Sqrt[-1 + z] + Sqrt[z]) Sqrt[-1 + z]] == (Pi/2) MeijerG[{{3/4, 3/4}, {}}, {{}, {0, 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