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InverseJacobiDC






Mathematica Notation

Traditional Notation









Elliptic Functions > InverseJacobiDC[z,m] > Integral representations > On the real axis > Of the direct function





http://functions.wolfram.com/09.40.07.0004.01









  


  










Input Form





InverseJacobiDC[z, m] == EllipticK[m] - ((Sqrt[z^2 - m] JacobiSN[InverseJacobiDC[z, m], m])/Sqrt[z^2 - 1]) Integrate[1/(Sqrt[t^2 - 1] Sqrt[t^2 - m]), {t, z, Infinity}] /; !Exists[\[Tau], {Element[\[Tau], Reals], 0 < \[Tau] < 1}, Im[\[Tau]^2 z^2 - 1] == 0 && \[Tau]^2 z^2 - 1 < 0 && Im[\[Tau]^2 z^2 - m] == 0 && \[Tau]^2 z^2 - m < 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





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