Periods of Leonardo Sequences and Bivariate Gaussian Leonardo Polynomials-Reference-Cited by-同舟云学术

Periods of Leonardo Sequences and Bivariate Gaussian Leonardo Polynomials

Published:2024-07-31 Issue:3 Volume:12 Page:1572-1580
ISSN:2148-2446
Container-title:Düzce Üniversitesi Bilim ve Teknoloji Dergisi
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Author:

Özçevik Selime Beyza¹^ORCID,Dertli Abdullah²^ORCID

Affiliation:

1. Ondokuz Mayıs Üniversitesi

2. ONDOKUZ MAYIS UNIVERSITY

Abstract

In this study, we investigate the periodic characteristics of Leonardo, Leonardo-Lucas, and Gaussian Leonardo sequences, presenting our findings through lemmas and theorems. Additionally, we introduce the concept of the power Leonardo like sequences and characterize the modules and integers within which these sequences exist. Furthermore, we conduct a comparative analysis between these power sequences and the power Fibonacci sequence under the same modulus. Lastly, we define a bivariate Gaussian Leonardo polynomial sequence and obtain specific properties associated with it.

Publisher

Duzce Universitesi Bilim ve Teknoloji Dergisi

Reference8 articles.

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