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variants of this functions
ChebyshevU




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.05.06.0022.02









  


  








Input Form





ChebyshevU[\[Nu], z] \[Proportional] 2^\[Nu] (z - 1)^\[Nu] (1 - \[Nu]/(1 - z) + ((1 - 2 \[Nu]) (1 - \[Nu]))/ (4 (1 - z)^2) + \[Ellipsis]) + 2^(-2 - \[Nu]) (z - 1)^(-2 - \[Nu]) (1 + (2 + \[Nu])/(1 - z) + ((5 + 2 \[Nu]) (3 + \[Nu]))/(4 (1 - z)^2) + \[Ellipsis]) /; (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