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variants of this functions
GegenbauerC




Mathematica Notation

Traditional Notation









Polynomials > GegenbauerC[n,lambda,z] > Representations through more general functions > Through Meijer G > Classical cases involving algebraic functions





http://functions.wolfram.com/05.09.26.0009.01









  


  








Input Form





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