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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 involving algebraic functions





http://functions.wolfram.com/07.14.26.0014.01









  


  








Input Form





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








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