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InverseJacobiCD






Mathematica Notation

Traditional Notation









Elliptic Functions > InverseJacobiCD[z,m] > Representations through equivalent functions > With related functions > Involving elliptic integrals





http://functions.wolfram.com/09.37.27.0016.01









  


  










Input Form





InverseJacobiCD[z, m] == InverseJacobiCD[Subscript[z, 0], m] - ((Sqrt[1 - m z^2] JacobiSN[InverseJacobiCD[z, m], m])/Sqrt[1 - z^2]) (EllipticF[ArcSin[z], m] - EllipticF[ArcSin[Subscript[z, 0]], m]) /; !Exists[\[Tau], {Element[\[Tau], Reals], 0 < \[Tau] < 1}, Im[1 - (Subscript[z, 0] + \[Tau] (z - Subscript[z, 0]))^2] == 0 && 1 - (Subscript[z, 0] + \[Tau] (z - Subscript[z, 0]))^2 < 0 && Im[1 - m (Subscript[z, 0] + \[Tau] (z - Subscript[z, 0]))^2] == 0 && 1 - m (Subscript[z, 0] + \[Tau] (z - Subscript[z, 0]))^2 < 0]










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)





2007-05-02