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variants of this functions
ChebyshevU






Mathematica Notation

Traditional Notation









Polynomials > ChebyshevU[n,z] > Series representations > Generalized power series > Expansions at n==infinity





http://functions.wolfram.com/05.05.06.0050.01









  


  










Input Form





ChebyshevU[n, z] \[Proportional] Piecewise[{{(-(I/(2 Sqrt[1 - z^2]))) E^(I (n + 1) ArcCos[z]), -Pi < Arg[ArcCos[z]] < 0}, {I/(2 Sqrt[1 - z^2])/E^(I (n + 1) ArcCos[z]), 0 < Arg[ArcCos[z]] < Pi}}, Sin[(n + 1) ArcCos[z]]/Sqrt[1 - z^2]] /; (n -> Infinity)










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)





2007-05-02





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