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InverseJacobiDC






Mathematica Notation

Traditional Notation









Elliptic Functions > InverseJacobiDC[z,m] > Differentiation > Symbolic differentiation > With respect to m





http://functions.wolfram.com/09.40.20.0008.02









  


  










Input Form





D[InverseJacobiDC[z, m], {m, n}] == (((-1)^(-1 + n) Sqrt[Pi])/((1 + 2 n) Gamma[1/2 - n])) z^(-1 - 2 n) AppellF1[1/2 + n, 1/2, 1/2 + n, 3/2 + n, 1/z^2, m/z^2] + (Pi/(m^n 2)) Hypergeometric2F1Regularized[1/2, 1/2, 1 - n, m] /; Element[n, Integers] && n >= 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)





2001-10-29