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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/05.09.26.0002.01









  


  








Input Form





GegenbauerC[n, \[Lambda], z] == (Gamma[2 \[Lambda] + n]/(Gamma[2 \[Lambda]] Gamma[n + 1])) HypergeometricPFQ[{-n, 2 \[Lambda] + n}, {\[Lambda] + 1/2}, (1 - z)/2] /; !(Element[-\[Lambda] - 1/2, Integers] && -\[Lambda] - 1/2 >= 0)








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