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

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.

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Bibliographic Details
Published inAIMS mathematics Vol. 9; no. 4; pp. 7810 - 7818
Main Authors Du, Tingting, Wang, Li
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2024
Subjects
bi-periodic fibonacci polynomial
bi-periodic lucas polynomal
divisible property
power sum
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024379