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variants of this functions
GegenbauerC






Mathematica Notation

Traditional Notation









Hypergeometric Functions > GegenbauerC[nu,lambda,z] > Series representations > Generalized power series > Expansions at z==1 > For the function itself > General case





http://functions.wolfram.com/07.14.06.0055.01









  


  










Input Form





GegenbauerC[\[Nu], \[Lambda], z] == (Gamma[2 \[Lambda] + \[Nu]]/(Gamma[2 \[Lambda]] Gamma[1 + \[Nu]])) Hypergeometric2F1[-\[Nu], 2 \[Lambda] + \[Nu], \[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)





2007-05-02