Preprint
Article
Representing Sums of Finite Products of Chebyshev Polynomials of the First Kind and Lucas Polynomials by Chebyshev Polynomials
This version is not peer-reviewed.
Submitted:
21 November 2018
Posted:
22 November 2018
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Abstract
In this paper, we study sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials and represent each of them in terms of Chebyshev polynomials of all kinds. Here the coefficients involve terminating hypergeometric functions 2F1 and these representations are obtained by explicit computations.
Keywords:
sums of finite products
; Chebyshev polynomials of the first kind
; Lucas polynomials
; Chebyshev polynomials of all kinds
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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