On the Chebyshev polynomials and some of their new identities

Author:

Han Di,Lv XingxingORCID

Abstract

AbstractThe main purpose of this paper is, using the elementary methods and properties of the power series, to study the computational problem of the convolution sums of Chebyshev polynomials and Fibonacci polynomials and to give some new and interesting identities for them.

Funder

the B. R. P. N. S.

N. S. F.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference29 articles.

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3. Kim, T., Dolgy, D.V., Kim, D.S.: Representing sums of finite products of Chebyshev polynomials of the second kind and Fibonacci polynomials in terms of Chebyshev polynomials. Adv. Stud. Contemp. Math. 28, 321–336 (2018)

4. Kim, T., Dolgy, D., Kim, D., Seo, J.: Convolved Fibonacci numbers and their applications. Ars Comb. 135, 119–131 (2017)

5. Kim, T., Kim, D.S., Jang, L.-C., Dolgy, D.V.: Representing by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials. Adv. Differ. Equ. 2019, 162 (2019)

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