q-Leonardo polynomials

Naim Tuglu, Sude Sıla Ekinci and Miraç Çetin Keskin
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 32, 2026, Number 2, Pages 281–299
DOI: 10.7546/nntdm.2026.32.2.281-299
Full paper (PDF, 327 Kb)

Details

Authors and affiliations

Naim Tuglu
Department of Mathematics, University of Gazi
06500 Ankara, Türkiye

Sude Sıla Ekinci
Graduate School of Natural and Applied Sciences, University of Gazi
06500, Ankara, Türkiye

Miraç Çetin Keskin
Department of Mathematics Education, University of Bașkent
06810 Ankara, Türkiye

Abstract

In this study, we define the -Leonardo Pisano polynomials and -Leonardo Lucas polynomials of the first and the second kinds, collectively termed -Leonardo polynomials. We investigate some interesting properties of the new polynomials.

Keywords

• -Leornardo polynomials
• -Fibonacci polynomials
• Generating functions.

2020 Mathematics Subject Classification

• 11B39
• 11B37
• 11B65

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Manuscript history

• Received: 1 October 2025
• Revised: 22 March 2026
• Accepted: 14 April 2026
• Online First: 24 April 2026

Copyright information

Ⓒ 2026 by the Authors.
This is an Open Access paper distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License (CC BY 4.0).