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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/z





http://functions.wolfram.com/07.05.06.0074.01









  


  








Input Form





ChebyshevU[\[Nu], z] == (1/(2 Sqrt[-1 + z^2])) (-(1/(z^\[Nu] (Sqrt[z^2] + Sqrt[-1 + z^2])))/ (1 + (Sqrt[z^2] Sqrt[-1 + z^2])/z^2)^\[Nu] + z^\[Nu] (Sqrt[z^2] + Sqrt[-1 + z^2]) (1 + (Sqrt[z^2] Sqrt[-1 + z^2])/z^2)^ \[Nu]) /; !IntervalMemberQ[Interval[{-1, 0}], z] && !Element[\[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)





2007-05-02