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variants of this functions
ChebyshevT






Mathematica Notation

Traditional Notation









Polynomials > ChebyshevT[n,z] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself





http://functions.wolfram.com/05.04.13.0011.01









  


  










Input Form





z^2 (-1 + a^2 z^(2 r)) Derivative[2][w][z] + (r - (-1 + 2 s) (-1 + a^2 z^(2 r))) z Derivative[1][w][z] + ((-s) (r + s) + a^2 z^(2 r) (s^2 - r^2 n^2)) w[z] == 0 /; w[z] == Subscript[c, 1] z^s ChebyshevT[n, a z^r] + Subscript[c, 2] z^s Sqrt[1 - a^2 z^(2 r)] ChebyshevU[-1 + n, a z^r]










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