Work

Common Factors of Dickson k-Fibonacci and Dickson k-Lucas Polynomials

Year: 2026

Type: book-chapter

Abstract: : In this study, we introduce identities that describe the common factors of Dickson k-Fibonacci and Dickson k-Lucas polynomials. These polynomials are a new class introduced by Engin Ozkan and Hakan Akkus in 2024. We will mainly rely on Binet's formula to derive the identities. We also present some generalized identities. Key words: k-Fibonacci polynomials, k-Lucas polynomials, Dickson polynomials, Binet formula.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.22025576

Authors: Yashwant K. Panwar, Seema Kabra, Monika Tomar

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204256485

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