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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==0 > For the function itself > General case





http://functions.wolfram.com/07.14.06.0001.02









  


  










Input Form





GegenbauerC[\[Nu], \[Lambda], z] \[Proportional] ((2^(1 - 2 \[Lambda]) Sqrt[Pi] Gamma[\[Nu] + 2 \[Lambda]])/ (Gamma[\[Nu] + 1] Gamma[\[Lambda]])) (Sqrt[Pi]/(Gamma[(1 - \[Nu])/2] Gamma[\[Lambda] + (1 + \[Nu])/2]) - (2 Sqrt[Pi] z)/(Gamma[\[Lambda] + \[Nu]/2] Gamma[-(\[Nu]/2)]) + ((2^(-1 + 2 \[Lambda]) Gamma[1 - \[Nu]/2] Gamma[1 + \[Lambda] + \[Nu]/2])/ (Sqrt[Pi] Gamma[-\[Nu]] Gamma[2 \[Lambda] + \[Nu]])) z^2 + \[Ellipsis]) /; (z -> 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





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