On Various Binomial Transforms of the Generalized Pell Matrix Sequences
Year: 2025
Type: article
Abstract: The main aim of this study is to apply different binomial transforms to the generalized Pell matrix sequences. We define the binomial, $s$-binomial, rising, and falling transforms for the generalized Pell matrix sequence. We establish some algebraic properties, such as the recurrent formulas, Binet formulas, generating functions, and sum formulas, for binomial transforms of the generalized Pell matrix sequences. Finally, we discuss the need for further research.
Source: Journal of New Theory
DOI: 10.53570/jnt.1637087
Authors: Şükran Uygun, Ozan Haklıdır
Institution: Gaziantep University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408924926