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InverseJacobiNC




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/09.43.20.0014.01









  


  








Input Form





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