Generalized Chebyshev Polynomials

Let h(x) be a non constant polynomial with rational coefficients. Our aim is to introduce the h(x)-Chebyshev polynomials of the first and second kind Tn and Un. We show that they are in a ℚ-vectorial subspace En(x) of ℚ[x] of dimension n. We establish that the polynomial sequences (hkTn−k)k and (hkU...

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Bibliographic Details
Main Authors: Abchiche Mourad, Belbachir Hacéne
Format: Article
Language:English
Published: Sciendo 2018-06-01
Series:Discussiones Mathematicae - General Algebra and Applications
Subjects:
Online Access:https://doi.org/10.7151/dmgaa.1278