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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 generic point z==z0 > For the function itself





http://functions.wolfram.com/05.09.06.0026.01









  


  








Input Form





GegenbauerC[n, \[Lambda], z] == ((2^(1 - 2 \[Lambda]) Sqrt[Pi] Gamma[n + 2 \[Lambda]])/ (n! Gamma[\[Lambda]])) Sum[(1/((Subscript[z, 0] - 1)^k k!)) HypergeometricPFQRegularized[{1, -n, n + 2 \[Lambda]}, {1 - k, 1/2 + \[Lambda]}, (1 - Subscript[z, 0])/2] (z - Subscript[z, 0])^k, {k, 0, Infinity}]








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