Periods of Leonardo Sequences and Bivariate Gaussian Leonardo Polynomials

Authors : Selime Beyza Özçevik, Abdullah Dertli

Pages : 1572-1580

Doi:10.29130/dubited.1373596

View : 8 | Download : 24

Publication Date : 2024-07-31

Article Type : Research Paper

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.
Keywords : leonardo sequence, period, bivariate polynomials