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variants of this functions
GegenbauerC






Mathematica Notation

Traditional Notation









Hypergeometric Functions > GegenbauerC[nu,lambda,z] > Representations through more general functions > Through Meijer G > Classical cases for the direct function itself





http://functions.wolfram.com/07.14.26.0006.01









  


  










Input Form





GegenbauerC[\[Nu], \[Lambda], z] == (-((2^(1 - 2 \[Lambda]) Sin[Pi \[Nu]])/(Sqrt[Pi] Gamma[\[Lambda]]))) MeijerG[{{\[Nu] + 1, 1 - 2 \[Lambda] - \[Nu]}, {}}, {{0}, {1/2 - \[Lambda]}}, (z - 1)/2] /; !Element[\[Nu], Integers]










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