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InverseJacobiDC






Mathematica Notation

Traditional Notation









Elliptic Functions > InverseJacobiDC[z,m] > Differentiation > Fractional integro-differentiation > With respect to m





http://functions.wolfram.com/09.40.20.0010.01









  


  










Input Form





D[InverseJacobiDC[z, m], {m, \[Alpha]}] == (Pi/(m^\[Alpha] 2)) Hypergeometric2F1Regularized[1/2, 1/2, 1 - \[Alpha], m] - (Sqrt[Pi]/(m^\[Alpha] (2 z))) HypergeometricPFQRegularized[ {{1/2}, {1/2}, {1/2, 1}}, {{3/2}, {}, {1 - \[Alpha]}}, 1/z^2, m/z^2] /; (z < 0 && m < 0) || (z > 1 && m < 1)










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