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variants of this functions
GegenbauerC






Mathematica Notation

Traditional Notation









Polynomials > GegenbauerC[n,lambda,z] > Transformations > Products, sums, and powers of the direct function > Products of the direct function





http://functions.wolfram.com/05.09.16.0003.01









  


  










Input Form





GegenbauerC[n, \[Lambda], z] GegenbauerC[m, \[Lambda], z] == Sum[(((-2 k + m + n + \[Lambda]) Gamma[1 - 2 k + m + n] Gamma[k + \[Lambda]] Gamma[-k + m + \[Lambda]] Gamma[-k + n + \[Lambda]] Gamma[-k + m + n + 2 \[Lambda]]) GegenbauerC[n + m - 2 k, \[Lambda], z])/(Gamma[1 + k] Gamma[1 - k + m] Gamma[1 - k + n] Gamma[\[Lambda]]^2 Gamma[1 - k + m + n + \[Lambda]] Gamma[-2 k + m + n + 2 \[Lambda]]), {k, 0, Min[m, n]}] /; Element[n, Integers] && n >= 0 && Element[m, Integers] && m >= 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)





2002-12-18





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