Representing Sums of Finite Products of Chebyshev Polynomials of the First Kind and Lucas Polynomials by Chebyshev Polynomials

Representing Sums of Finite Products of Chebyshev Polynomials of the First Kind and Lucas Polynomials by Chebyshev Polynomials

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...

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Bibliographic Details
Main Authors: Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, Jongkyum Kwon
Format: Article
Language:English
Published: MDPI AG 2018-12-01
Series:Mathematics
Subjects:
sums of finite products
Chebyshev polynomials of the first kind
Lucas polynomials
Chebyshev polynomials of all kinds
Online Access:http://www.mdpi.com/2227-7390/7/1/26

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http://www.mdpi.com/2227-7390/7/1/26

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