On Mersenne Numbers and their Bihyperbolic Generalizations
y 
Perfil de Orcid
Anetta Szynal-Liana
Rzeszow University of Technology, Faculty of Mathematics and Applied PhysicsRzeszów, Poland
Perfil de OrcidBuscar este autor en
29 ago 2024
Acerca de este artículo
Publicado en línea: 29 ago 2024
Páginas: 130 - 142
Recibido: 19 may 2024
Aceptado: 24 jul 2024
DOI: https://doi.org/10.2478/amsil-2024-0019
Palabras clave
© 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.