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InverseJacobiCN






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/09.38.20.0012.01









  


  










Input Form





D[InverseJacobiCN[z, m], {m, 3}] == (-(1/(8 (-1 + m)^3 m^3))) ((-1 + m) (8 + m (-19 + 15 m)) InverseJacobiCN[z, m] + (1/(1 + m (-1 + z^2))^3) ((8 + 23 (-1 + m) m) (1 + m (-1 + z^2))^3 EllipticE[JacobiAmplitude[InverseJacobiCN[z, m], m], m] + m z (-1 + z^2) ((-1 + m)^2 (4 + m (-12 + 23 m)) - (-1 + m) m (9 + m (-35 + 46 m)) z^2 + m^2 (8 + 23 (-1 + m) m) z^4) JacobiDS[InverseJacobiCN[z, m], 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)





2007-05-02





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