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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/05.09.06.0033.01









  


  










Input Form





GegenbauerC[n, \[Lambda], z] \[Proportional] (Pochhammer[2 \[Lambda], n]/n!) (1 + ((n (n + 2 \[Lambda]))/(1 + 2 \[Lambda])) (z - 1) + (((-1 + n) n (n + 2 \[Lambda]) (1 + n + 2 \[Lambda]))/ (2 (1 + 2 \[Lambda]) (3 + 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