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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/05.04.13.0009.01









  


  










Input Form





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










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