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variants of this functions
GegenbauerC






Mathematica Notation

Traditional Notation









Polynomials > GegenbauerC[n,lambda,z] > Summation > Finite summation





http://functions.wolfram.com/05.09.23.0001.01









  


  










Input Form





Sum[((Gamma[n - k + 1] Gamma[k + \[Lambda]]^2 (2 k + 2 \[Lambda] - 1) (-1)^k 4^k)/Gamma[k + n + 2 \[Lambda]]) (Subscript[z, 1]^2 - 1)^(k/2) (Subscript[z, 2]^2 - 1)^(k/2) GegenbauerC[n - k, k + \[Lambda], Subscript[z, 1]] GegenbauerC[n - k, k + \[Lambda], Subscript[z, 2]] GegenbauerC[k, \[Lambda] - 1/2, \[Alpha]], {k, 0, n}] == ((4^(1 - \[Lambda]) Sqrt[Pi] Gamma[\[Lambda]])/Gamma[\[Lambda] - 1/2]) GegenbauerC[n, \[Lambda], Subscript[z, 1] Subscript[z, 2] - Sqrt[Subscript[z, 1]^2 - 1] Sqrt[Subscript[z, 2]^2 - 1] \[Alpha]]










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





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