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variants of this functions
GegenbauerC




Mathematica Notation

Traditional Notation









Hypergeometric Functions > GegenbauerC[nu,lambda,z] > Summation > Infinite summation





http://functions.wolfram.com/07.14.23.0004.01









  


  








Input Form





Sum[(1/Pochhammer[2 \[Lambda], n]) GegenbauerC[n, \[Lambda], z] w^n, {n, 0, Infinity}] == E^(z w) Hypergeometric0F1[\[Lambda] + 1/2, ((z^2 - 1) w^2)/4] /; -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