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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/07.14.06.0053.01









  


  










Input Form





GegenbauerC[\[Nu], \[Lambda], z] \[Proportional] ((2^(1 - 2 \[Lambda]) Sqrt[Pi] Gamma[\[Nu] + 2 \[Lambda]])/ (Gamma[\[Nu] + 1] Gamma[\[Lambda]])) (1/Gamma[1/2 + \[Lambda]] + ((\[Nu] (2 \[Lambda] + \[Nu]))/(2 Gamma[3/2 + \[Lambda]])) (z - 1) + (((-\[Nu]) (1 - \[Nu]) (2 \[Lambda] + \[Nu]) (1 + 2 \[Lambda] + \[Nu]))/ (8 Gamma[5/2 + \[Lambda]])) (z - 1)^2 + O[(z - 1)^3]) /; !(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





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