On Mersenne Numbers and their Bihyperbolic Generalizations
oraz 
Profil Orcid
Anetta Szynal-Liana
Rzeszow University of Technology, Faculty of Mathematics and Applied PhysicsRzeszów, Poland
Profil OrcidWyszukaj tego autora
29 sie 2024
O artykule
Data publikacji: 29 sie 2024
Zakres stron: 130 - 142
Otrzymano: 19 maj 2024
Przyjęty: 24 lip 2024
DOI: https://doi.org/10.2478/amsil-2024-0019
Słowa kluczowe
© 2024 Dorota Bród et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
In this paper, we introduce Mersenne and Mersenne–Lucas bihyperbolic numbers, i.e. bihyperbolic numbers whose coefficients are consecutive Mersenne and Mersenne–Lucas numbers. Moreover, we study one parameter generalizations of Mersenne and Mersenne–Lucas bihyperbolic numbers. We present some properties of these numbers and relations between them.