Power Sums and Divisibility Properties of Bi-Periodic Recurrence Polynomials

We consider the power sums, alternating power sums, and product power sums of the bi-periodic Fibonacci and Lucas polynomials by Sury’s polynomial identity. Furthermore, we obtain the divisibility properties for the bi-periodic Fibonacci and Lucas polynomials.

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Publication Details

Journal
The Fibonacci Quarterly
Published
2026-06-24
DOI
https://doi.org/10.1080/00150517.2026.2629448
Primary Topic
Meromorphic and Entire Functions
Type
article
Field-Weighted Citation Impact
0.00

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article

Power Sums and Divisibility Properties of Bi-Periodic Recurrence Polynomials

Tingting Du
The Fibonacci Quarterly
Meromorphic and Entire Functions
article

Power Sums and Divisibility Properties of Bi-Periodic Recurrence Polynomials

Tingting Du
article en

Abstract

We consider the power sums, alternating power sums, and product power sums of the bi-periodic Fibonacci and Lucas polynomials by Sury’s polynomial identity. Furthermore, we obtain the divisibility properties for the bi-periodic Fibonacci and Lucas polynomials.

The Fibonacci Quarterly
Applications Research (United States) (US)
National Natural Science Foundation of China
Openalex Percentile: Top 4%
Meromorphic and Entire Functions
DOISourceOpenAlex
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