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InverseJacobiCD






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/09.37.20.0008.02









  


  










Input Form





D[InverseJacobiCD[z, m], {m, n}] == ((Sqrt[1 - m z^2] JacobiCD[InverseJacobiSN[z, m], m])/Sqrt[1 - z^2]) (((Pi Pochhammer[1/2, n]^2)/(2 n!)) Hypergeometric2F1[1/2 + n, 1/2 + n, 1 + n, m] - ((z^(1 + 2 n) Pochhammer[1/2, n])/(1 + 2 n)) AppellF1[1/2 + n, 1/2, 1/2 + n, 3/2 + n, z^2, m z^2]) /; Element[n, Integers] && n >= 0










Standard Form





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MathML Form







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</ci> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29





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