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variants of this functions
ChebyshevT




Mathematica Notation

Traditional Notation









Hypergeometric Functions > ChebyshevT[nu,z] > Series representations > Generalized power series > Expansions at z==infinity > For the function itself > Expansions in 1/(1-z)





http://functions.wolfram.com/07.04.06.0021.02









  


  








Input Form





ChebyshevT[\[Nu], z] \[Proportional] 2^(\[Nu] - 1) (z - 1)^\[Nu] (1 - \[Nu]/(1 - z) - (\[Nu] (3 - 2 \[Nu]))/ (4 (1 - z)^2) - \[Ellipsis]) + (2^(-\[Nu] - 1) (1 + \[Nu]/(1 - z) + (\[Nu] (3 + 2 \[Nu]))/(4 (1 - z)^2) + \[Ellipsis]))/(z - 1)^\[Nu] /; (Abs[z] -> Infinity) && !Element[2 \[Nu], Integers]








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