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Research Article | Open Access

Some identities involving the bi-periodic Fibonacci and Lucas polynomials

Tingting Du, Zhengang Wu( )
Northwest University, Xian, Shaanxi 710000, China
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Abstract

In this paper, by using generating functions for the Chebyshev polynomials, we have obtained the convolution formulas involving the bi-periodic Fibonacci and Lucas polynomials.

Keywords

bi-periodic Fibonacci polynomialsbi-periodic Lucas polynomialsconvolution formulaChebyshev polynomials
CLC number: 11B37, 11B39

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AIMS Mathematics
Volume 8 Issue 3,
March 2023
Pages 5838-5846
DOI: 10.3934/math.2023294

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Du T, Wu Z. Some identities involving the bi-periodic Fibonacci and Lucas polynomials. AIMS Mathematics, 2023, 8(3): 5838-5846. https://doi.org/10.3934/math.2023294

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Received: 02 November 2022
Revised: 04 December 2022
Accepted: 09 December 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)