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variants of this functions
ChebyshevU






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/05.05.13.0013.01









  


  










Input Form





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





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