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Research Article | Open Access

On the power sums problem of bi-periodic Fibonacci and Lucas polynomials

Tingting Du, Li Wang( )
Research Center for Number Theory and Its Application, Northwest University, Xi'an, Shaanxi 710127, China
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Abstract

This paper mainly discussed the power sums of bi-periodic Fibonacci and Lucas polynomials. In addition, we generalized these results to obtain several congruences involving the divisible properties of bi-periodic Fibonacci and Lucas polynomials.

Keywords

bi-periodic Fibonacci polynomialbi-periodic Lucas polynomalpower sumdivisible property
CLC number: 11B39, 11B37

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AIMS Mathematics
Volume 9 Issue 4,
April 2024
Pages 7810-7818
DOI: 10.3934/math.2024379

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Du T, Wang L. On the power sums problem of bi-periodic Fibonacci and Lucas polynomials. AIMS Mathematics, 2024, 9(4): 7810-7818. https://doi.org/10.3934/math.2024379

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Received: 13 December 2023
Revised: 25 January 2024
Accepted: 08 February 2024
Published: 15 April 2024
©2024 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)