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variants of this functions
GegenbauerC






Mathematica Notation

Traditional Notation









Polynomials > GegenbauerC[n,lambda,z] > Series representations > Generalized power series > Expansions at z==-1 > For the function itself





http://functions.wolfram.com/05.09.06.0012.02









  


  










Input Form





GegenbauerC[n, \[Lambda], z] == ((Cos[Pi (n + \[Lambda])] Sec[Pi \[Lambda]] Pochhammer[2 \[Lambda], n])/n!) Hypergeometric2F1[-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