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variants of this functions
GegenbauerC




Mathematica Notation

Traditional Notation









Polynomials > GegenbauerC[n,lambda,z] > Representations through more general functions > Through Meijer G > Classical cases involving unit step theta





http://functions.wolfram.com/05.09.26.0026.01









  


  








Input Form





UnitStep[Abs[z] - 1] (z - 1)^(-\[Lambda] - n/2) GegenbauerC[n, \[Lambda], (2 z - 1)/(2 Sqrt[z] Sqrt[z - 1])] == (((-1)^n Gamma[1 - \[Lambda]])/n!) MeijerG[{{1 - \[Lambda] - n/2, \[Lambda] - n/2}, {}}, {{}, {\[Lambda] + n/2, -(n/2)}}, z]








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