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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==infinity > For the function itself > Expansions in 1/(1-z)





http://functions.wolfram.com/07.14.06.0034.01









  


  










Input Form





GegenbauerC[\[Nu], \[Lambda], z] \[Proportional] ((2^\[Nu] Gamma[\[Nu] + \[Lambda]])/(Gamma[\[Nu] + 1] Gamma[\[Lambda]])) z^\[Nu] (1 + O[1/z]) - (((-1)^(\[Nu] + \[Lambda] + 1/2) 2^(1 - \[Nu] - 2 \[Lambda]) Sin[\[Nu] Pi])/(Gamma[\[Lambda]] Gamma[1 + \[Nu] + \[Lambda]])) Gamma[\[Nu] + 2 \[Lambda]] z^(-\[Nu] - 2 \[Lambda]) (1 + O[1/z]) /; (Abs[z] -> Infinity) && Element[\[Lambda] + \[Nu] - 1/2, Integers] && \[Lambda] + \[Nu] - 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