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variants of this functions
GegenbauerC




Mathematica Notation

Traditional Notation









Hypergeometric Functions > GegenbauerC[nu,lambda,z] > Complex characteristics > Real part





http://functions.wolfram.com/07.14.19.0001.01









  


  








Input Form





Re[GegenbauerC[n, \[Lambda], x + I y]] == Sum[(((-1)^j 2^(2 j) Pochhammer[\[Lambda], 2 j])/(2 j)!) GegenbauerC[n - 2 j, 2 j + \[Lambda], x] y^(2 j), {j, 0, Floor[n/2]}] /; Element[x, Reals] && Element[y, Reals] && Element[\[Lambda], Reals] && Element[n, Integers] && n >= 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)





2001-10-29