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variants of this functions
GegenbauerC






Mathematica Notation

Traditional Notation









Polynomials > GegenbauerC[n,lambda,z] > Representations through more general functions > Through hypergeometric functions > Involving 2F1





http://functions.wolfram.com/05.09.26.0003.01









  


  










Input Form





GegenbauerC[n, \[Lambda], z] == ((Cos[Pi (n + \[Lambda])] Sec[Pi \[Lambda]] Gamma[n + 2 \[Lambda]])/ (Gamma[n + 1] Gamma[2 \[Lambda]])) HypergeometricPFQ[ {-n, n + 2 \[Lambda]}, {1/2 + \[Lambda]}, (1 + z)/2] /; !Element[\[Lambda] + 1/2, Integers]










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