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