On third-order Jacobsthal numbers and their bihyperbolic generalizations
In this paper, we introduce bihyperbolic third-order Jacobsthal and third-order Jacobsthal--Lucas numbers. In other words, bihyperbolic numbers whose coefficients are consecutive third-order Jacobsthal and third-order Jacobsthal--Lucas numbers. Furthermore, we study one parameter generalizations of bihyperbolic third-order Jacobsthal and third-order Jacobsthal--Lucas numbers and relations between them.
Authors
- Gamaliel Morales
Institutions
- Pontificia Universidad Católica de Valparaíso (CL)
Publication Details
- Journal
- Annales Universitatis Mariae Curie-Sklodowska sectio A – Mathematica
- Published
- 2025-12-31
- DOI
- https://doi.org/10.17951/a.2025.79.2.43-56
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00