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InverseJacobiCN






Mathematica Notation

Traditional Notation









Elliptic Functions > InverseJacobiCN[z,m] > Differentiation > Symbolic differentiation > With respect to z





http://functions.wolfram.com/09.38.20.0014.01









  


  










Input Form





D[InverseJacobiCN[z, m], {z, n}] == KroneckerDelta[n] InverseJacobiCN[z, m] - (JacobiDS[InverseJacobiCN[z, m], m]/(1 + m (-1 + z^2))) Sum[(Pochhammer[1 - n, 2 (n - j) - 2]/((n - j - 1)! (2 z)^(n - 2 j - 1))) Sum[((-1)^(k + j) Binomial[j, k] Pochhammer[1/2, k] Pochhammer[1/2, j - k] m^(j - k) (m z^2 - m + 1)^(-j + k))/ (1 - z^2)^k, {k, 0, j}], {j, 0, n - 1}] /; Element[n, Integers] && n >= 0










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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