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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/07.14.26.0012.01









  


  








Input Form





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