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

Taekyun Kim, Dae San Kim, Dmitry V. Dolgy and Jongkyum Kwon
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Taekyun Kim: Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin 300160, China
Dae San Kim: Department of Mathematics, Sogang University, Seoul 121-742, Korea
Dmitry V. Dolgy: Hanrimwon, Kwangwoon University, Seoul 139-701, Korea
Jongkyum Kwon: Department of Mathematics Education and ERI, Gyeongsang National University, Jinju, Gyeongsangnamdo 52828, Korea

Mathematics, 2018, vol. 7, issue 1, 1-15

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 2 F 1 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 (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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