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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/05.09.26.0018.01









  


  








Input Form





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