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EllipticK




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/08.02.26.0117.01









  


  








Input Form





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