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variants of this functions
ChebyshevT






Mathematica Notation

Traditional Notation









Hypergeometric Functions > ChebyshevT[nu,z] > Complex characteristics > Imaginary part





http://functions.wolfram.com/07.04.19.0002.01









  


  










Input Form





Im[ChebyshevT[n, x + I y]] == n Sum[(((-1)^j 2^(2 j))/(2 j + 1)) GegenbauerC[n - 2 j - 1, 2 j + 1, x] y^(2 j + 1), {j, 0, Floor[(n - 1)/2]}] /; Element[x, Reals] && Element[y, 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





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