Preprint Article Version 1 This version is not peer-reviewed

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

Version 1 : Received: 21 November 2018 / Approved: 22 November 2018 / Online: 22 November 2018 (06:43:38 CET)

A peer-reviewed article of this Preprint also exists.

Kim, T.; Kim, D.S.; Dolgy, D.V.; Kwon, J. Representing Sums of Finite Products of Chebyshev Polynomials of the First Kind and Lucas Polynomials by Chebyshev Polynomials. Mathematics 2019, 7, 26. Kim, T.; Kim, D.S.; Dolgy, D.V.; Kwon, J. Representing Sums of Finite Products of Chebyshev Polynomials of the First Kind and Lucas Polynomials by Chebyshev Polynomials. Mathematics 2019, 7, 26.

Journal reference: Mathematics 2019, 7, 26
DOI: 10.3390/math7010026

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.

Subject Areas

sums of finite products; Chebyshev polynomials of the first kind; Lucas polynomials; Chebyshev polynomials of all kinds

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