Generalized Tschebyscheff of the Second Kind and Bernstein Polynomials Change of Bases

Mohammad A AlQudah


We construct multiple representations relative to different bases of the generalized Tschebyscheff polynomials of second kind. Also, we provide an explicit closed from of The generalized Polynomials of degree r less than or equal n in terms of the Bernstein basis of fixed degree n. In addition, we create the change-of-basis matrices between the generalized Tschebyscheff of the second kind polynomial basis and Bernstein polynomial basis. 


Generalized Tschebyscheff, Bernstein Basis, Basis Transformation, B\'{e}zier Coefficient, Gamma function

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