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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/05.09.06.0032.01









  


  










Input Form





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










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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