Journal
Turkish Journal of Science
Volume & Issue
Volume 9, Issue 3
Published on
November 25, 2024
Pages
181-193
DOI
Article
Bivariate Pell and Bivariate Pell-Lucas Hybrinomials
Authors
Yasemin TASYURDU
Abstract
In this paper, we define bivariate Pell and bivariate Pell-Lucas hybrinomials and derive their recurrence relations. We obtain sequences of both the bivariate Pell hybrinomials and the bivariate Pell- Lucas hybrinomials and provide Binet formulas that allow us to calculate the nth terms of these sequences. Furthermore, we derive generating functions and matrix representations of these hybrinomials and establish their various properties.