Some identities involving the bi-periodic Fibonacci and Lucas polynomials

Tingting Du; Zhengang Wu; Tingting Du; Zhengang Wu

doi:10.3934/math.2023294

AIMS Mathematics

2023, Volume 8, Issue 3: 5838-5846. doi: 10.3934/math.2023294

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Research article

Some identities involving the bi-periodic Fibonacci and Lucas polynomials

Tingting Du ,
Zhengang Wu ^,

Northwest University, Xian, Shaanxi 710000, China

Received: 02 November 2022 Revised: 04 December 2022 Accepted: 09 December 2022 Published: 26 December 2022
MSC : 11B37, 11B39

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.
- bi-periodic Fibonacci polynomials,
- bi-periodic Lucas polynomials,
- convolution formula,
- Chebyshev polynomials
Citation: Tingting Du, Zhengang Wu. Some identities involving the bi-periodic Fibonacci and Lucas polynomials[J]. AIMS Mathematics, 2023, 8(3): 5838-5846. doi: 10.3934/math.2023294

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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.

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