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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==0 > For the function itself





http://functions.wolfram.com/05.09.06.0001.02









  


  










Input Form





GegenbauerC[n, \[Lambda], z] \[Proportional] (2^n Sqrt[Pi] Gamma[n/2 + \[Lambda]])/(Gamma[(1 - n)/2] n! Gamma[\[Lambda]]) + (2^n Sqrt[Pi] Gamma[(1 + n)/2 + \[Lambda]] z)/ (Gamma[1 - n/2] (n - 1)! Gamma[\[Lambda]]) - ((2 Cos[(n Pi)/2] Gamma[1 + n/2 + \[Lambda]])/(Gamma[\[Lambda]] Gamma[n/2])) z^2 - (2^n Sqrt[Pi] Gamma[(3 + n)/2 + \[Lambda]] z^3)/ (3 Gamma[1 - n/2] (n - 2)! Gamma[\[Lambda]]) + \[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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