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variants of this functions
GegenbauerC






Mathematica Notation

Traditional Notation









Hypergeometric Functions > GegenbauerC[nu,lambda,z] > Differentiation > Symbolic differentiation > With respect to z





http://functions.wolfram.com/07.14.20.0008.02









  


  










Input Form





D[GegenbauerC[\[Nu], \[Lambda], z], {z, m}] == ((2^(1 - 2 \[Lambda]) Sqrt[Pi] Gamma[\[Nu] + 2 \[Lambda]])/ ((z - 1)^m (Gamma[1 + \[Nu]] Gamma[\[Lambda]]))) HypergeometricPFQRegularized[{1, -\[Nu], \[Nu] + 2 \[Lambda]}, {1 - m, 1/2 + \[Lambda]}, (1 - z)/2] /; Element[m, Integers] && m >= 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)





2001-10-29