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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 unit step theta





http://functions.wolfram.com/05.05.26.0016.01









  


  








Input Form





Sqrt[-1 + z] UnitStep[-1 + Abs[z]] ChebyshevU[n, -1 + 2/z] == (1/2) Sqrt[Pi] (1 + n) MeijerG[{{3/2, 2}, {}}, {{}, {-n, 2 + n}}, z] /; !IntervalMemberQ[Interval[{-Infinity, -1}], 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