Work

On the (r, p, k)-Generalized Jacobsthal Numbers and the Jacobsthal Fundamental Fibonacci System

Year: 2025

Type: article

Abstract: The main goal of this paper is to study the model of the sequences of (r, p, k)-generalized Jacobsthal numbers, by the approach based on the properties of its associated Jacobsthal fundamental Fibonacci system and its fundamental sequence. Some linear and combinatorial properties are established. Moreover, the related matrix formulation allows us to provide new identities, which are declined in combinatorial form. Especially, the linear Jacobsthal Cassini identity and its combinatorial formulation are furnished. Finally, illustrative special cases and examples are given.

Source: Trends in Computational and Applied Mathematics

DOI: 10.5540/tcam.2025.026.e01835

Authors: M. Rachidi, F. Yilmaz

Institutions: Universidade Federal de Mato Grosso do Sul, Ankara Hacı Bayram Veli University

Language: English

Topic: Advanced Mathematical Theories and Applications

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Universidade Federal de Mato Grosso do Sul

OpenAlex ID: W4410028022

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