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variants of this functions
ChebyshevU




Mathematica Notation

Traditional Notation









Polynomials > ChebyshevU[n,z] > Series representations > Generalized power series > Expansions at z==1 > For the function itself





http://functions.wolfram.com/05.05.06.0035.01









  


  








Input Form





ChebyshevU[n, z] == (1/(Sqrt[2] (1 - z) Sqrt[1 + z])) (Hypergeometric2F1[(1 + 2 n)/4, -((1 + 2 n)/4), 1/2, 1 - z^2] - Hypergeometric2F1[(3 + 2 n)/4, -((3 + 2 n)/4), 1/2, 1 - z^2])








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