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arXiv · 2404.05738

On Generalized Bihyperbolic Third-order Jacobsthal Polynomials

Gamaliel Cerda-Morales
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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.

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BibTeXRIS

Gamaliel Cerda-Morales. 2024-03-30. On Generalized Bihyperbolic Third-order Jacobsthal Polynomials. https://doi.org/10.21136/mb.2024.0037-24

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