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variants of this functions
ChebyshevT






Mathematica Notation

Traditional Notation









Hypergeometric Functions > ChebyshevT[nu,z] > Identities > Recurrence identities > Distant neighbors





http://functions.wolfram.com/07.04.17.0004.01









  


  










Input Form





ChebyshevT[\[Nu], z] == 2 (-1)^(2 Floor[m/2]) z^(m - 2 Floor[m/2]) (z^2)^((1 - m)/2 + Floor[m/2]) ChebyshevU[(m - 1)/2, 2 z^2 - 1] ChebyshevT[\[Nu] - m, z] - 2 z^(1 - m + 2 Floor[m/2]) (z^2)^(Floor[(1 + m)/2] - m/2) ChebyshevU[m/2 - 1, 2 z^2 - 1] ChebyshevT[\[Nu] - m - 1, z] /; Element[m, Integers] && m > 0










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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