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variants of this functions
GegenbauerC




Mathematica Notation

Traditional Notation









Hypergeometric Functions > GegenbauerC[nu,lambda,z] > Representations through more general functions > Through Meijer G > Generalized cases involving unit step theta





http://functions.wolfram.com/07.14.26.0038.01









  


  








Input Form





UnitStep[Abs[z] - 1] (z^2 - 1)^(-\[Lambda] - n/2) GegenbauerC[n, \[Lambda], (2 z^2 - 1)/(2 z Sqrt[z^2 - 1])] == (((-1)^n Gamma[1 - \[Lambda]])/n!) MeijerG[{{1 - \[Lambda] - n/2, \[Lambda] - n/2}, {}}, {{}, {\[Lambda] + n/2, -(n/2)}}, z, 1/2] /; Element[n, Integers] && n >= 0 && Re[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