On Generalized Bihyperbolic Third-order Jacobsthal Polynomials
General Mathematics
2025-01-23 v1
Abstract
In this paper, a new generalization of third-order Jacobsthal bihyperbolic polynomials is introduced. Some of the properties of presented polynomials are given. A Vadja formula for the generalized bihyperbolic third-order Jacobsthal polynomials is obtained. This result implies the Catalan, Cassini and d'Ocagne identities. Moreover, generating function and matrix generators for these polynomials are presented.
Cite
@article{arxiv.2404.05738,
title = {On Generalized Bihyperbolic Third-order Jacobsthal Polynomials},
author = {Gamaliel Cerda-Morales},
journal= {arXiv preprint arXiv:2404.05738},
year = {2025}
}
Comments
11 pages