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variants of this functions
ChebyshevT




Mathematica Notation

Traditional Notation









Hypergeometric Functions > ChebyshevT[nu,z] > Series representations > Asymptotic series expansions > Expansions at nu==infinity





http://functions.wolfram.com/07.04.06.0076.01









  


  








Input Form





ChebyshevT[\[Nu], z] \[Proportional] Piecewise[{{(1/2) E^(I \[Nu] ArcCos[z]), -Pi < Arg[\[Nu] ArcCos[z]] < 0}, {1/2/E^(I \[Nu] ArcCos[z]), 0 < Arg[\[Nu] ArcCos[z]] < Pi}}, Cos[\[Nu] ArcCos[z]]] /; (Abs[\[Nu]] -> 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