Fourier Series for Functions Related to Chebyshev Polynomials of the First Kind and Lucas Polynomials

Taekyun Kim, Dae San Kim, Lee-Chae Jang and Gwan-Woo Jang
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Taekyun Kim: Department of Mathematics, Kwangwoon University, Seoul 139-701, Korea
Dae San Kim: Department of Mathematics, Sogang University, Seoul 121-742, Korea
Lee-Chae Jang: Graduate School of Education, Konkuk University, Seoul 139-701, Korea
Gwan-Woo Jang: Department of Mathematics, Kwangwoon University, Seoul 139-701, Korea

Mathematics, 2018, vol. 6, issue 12, 1-15

Abstract: In this paper, we derive Fourier series expansions for functions related to sums of finite products of Chebyshev polynomials of the first kind and of Lucas polynomials. From the Fourier series expansions, we are able to express those two kinds of sums of finite products of polynomials as linear combinations of Bernoulli polynomials.

Keywords: Fourier series; Chebyshev polynomials of the first kind; Lucas polynomials; Bernoulli polynomials (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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