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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 for the direct function itself





http://functions.wolfram.com/05.09.26.0006.01









  


  








Input Form





GegenbauerC[n, \[Lambda], z] == (-(2^(1 - 2 \[Lambda])/(Sqrt[Pi] Gamma[\[Lambda]]))) Limit[Sin[Pi m] MeijerG[{{m + 1, 1 - 2 \[Lambda] - m}, {}}, {{0}, {1/2 - \[Lambda]}}, (z - 1)/2], m -> n]








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