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InverseJacobiNC




Mathematica Notation

Traditional Notation









Elliptic Functions > InverseJacobiNC[z,m] > Representations through more general functions > Through hypergeometric functions of two variables





http://functions.wolfram.com/09.43.26.0001.01









  


  








Input Form





InverseJacobiNC[z, m] == EllipticK[m] - (1/z) (HypergeometricPFQ[{{1/2}, {1/2, 1/2}, {1/2, 1}}, {{3/2, 1}, {}, {}}, -(m/z^2), 1/z^2] + (m/2) HypergeometricPFQ[{{3/2, 3/2}, {1/2}, {1}}, {{2}, {3/2}, {3/2}}, -(m/z^2), m])








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