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variants of this functions
ChebyshevU




Mathematica Notation

Traditional Notation









Polynomials > ChebyshevU[n,z] > Representations through more general functions > Through Meijer G > Classical cases involving algebraic functions





http://functions.wolfram.com/05.05.26.0012.01









  


  








Input Form





(1 + z)^(-2 - n) (1 + 2 z) ChebyshevU[n, (1 + 2 z + 2 z^2)/(2 z (1 + z))] == (1/Gamma[2 + 2 n]) MeijerG[{{-n}, {1 - n}}, {{-n, 2 + n}, {}}, z] /; !IntervalMemberQ[Interval[{-1, 0}], z]








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