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InverseJacobiDC






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/09.40.20.0012.01









  


  










Input Form





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