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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/07.04.06.0027.01









  


  










Input Form





ChebyshevT[\[Nu], z] == Hypergeometric2F1[Abs[\[Nu]], 1/2 + Abs[\[Nu]], 1 + 2 Abs[\[Nu]], 2/(1 - z)]/(2^Abs[\[Nu]] (z - 1)^Abs[\[Nu]]) + 2^(Abs[\[Nu]] - 1) (z - 1)^Abs[\[Nu]] Sum[((Pochhammer[1/2 - Abs[\[Nu]], k] Pochhammer[-Abs[\[Nu]], k])/ (k! Pochhammer[1 - 2 Abs[\[Nu]], k])) (2/(1 - z))^k, {k, 0, Abs[\[Nu]] - 1/2}] /; Element[\[Nu] - 1/2, 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





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