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InverseJacobiSD






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/09.47.20.0009.01









  


  










Input Form





D[InverseJacobiSD[z, m], {z, \[Alpha]}] == z^(1 - \[Alpha]) Sqrt[Pi] HypergeometricPFQRegularized[{{1/2, 1}, {1/2}, {1/2}}, {{(3 - \[Alpha])/2, 1 - \[Alpha]/2}, {}, {}}, (-m) z^2, (1 - m) z^2] /; Element[z, Reals] && (1 - m) z^2 < 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