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InverseJacobiCD






Mathematica Notation

Traditional Notation









Elliptic Functions > InverseJacobiCD[z,m] > Differentiation > Low-order differentiation > With respect to m





http://functions.wolfram.com/09.37.20.0012.01









  


  










Input Form





D[InverseJacobiCD[z, m], {m, 3}] == ((-1 + m z^2) ((-8 - 23 (-1 + m) m) EllipticE[JacobiAmplitude[ InverseJacobiCD[z, m], m], m] - (-1 + m) (-7 + 11 m) EllipticF[JacobiAmplitude[InverseJacobiCD[z, m], m], m]) - 15 (-1 + m)^3 (-1 + m z^2) InverseJacobiCD[z, m] - m z^2 ((-1 + m)/(-1 + m z^2))^(3/2) (4 + m (-8 + (-7 + 11 m) z^2)) JacobiSC[InverseJacobiCD[z, m], m])/(4 (-1 + m)^3 m^3 (-2 + 2 m z^2))










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)





2007-05-02





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