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variants of this functions
GegenbauerC




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/05.09.23.0005.01









  


  








Input Form





Sum[(1/(Pochhammer[2 \[Lambda], n] Pochhammer[\[Lambda] + 1/2, n])) GegenbauerC[n, \[Lambda], z] w^n, {n, 0, Infinity}] == Hypergeometric0F1[\[Lambda] + 1/2, ((z - 1) w)/2] Hypergeometric0F1[\[Lambda] + 1/2, ((z + 1) w)/2] /; -1 < z < 1 && Abs[w] < 1








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