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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/05.09.26.0014.01









  


  








Input Form





(1 + z)^(-\[Lambda] - n/2) GegenbauerC[n, \[Lambda], (1 + 2 z)/(2 Sqrt[z] Sqrt[1 + z])] == (1/(Gamma[\[Lambda]] Gamma[1 + n])) MeijerG[{{1 - \[Lambda] - n/2}, {\[Lambda] - n/2}}, {{-(n/2), \[Lambda] + n/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