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InverseJacobiSC






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/09.46.20.0019.01









  


  










Input Form





D[InverseJacobiSC[z, m], {z, n}] == KroneckerDelta[n] InverseJacobiSC[z, m] - (JacobiND[InverseJacobiSC[z, m], m]/(1 + z^2)) Sum[(1/(-1 - j + n)!) (((-1)^(-1 + j) 2^(1 + 2 j - n) (1 - m)^j z^(1 + 2 j - n) Pochhammer[1/2, j] Hypergeometric2F1[1/2, -j, 1/2 - j, (1 + z^2 - m z^2)/((1 - m) (1 + z^2))] Pochhammer[1 - n, -2 + 2 (-j + n)])/(1 + (1 - m) z^2)^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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