On Mersenne Numbers and their Bihyperbolic Generalizations
Abstract 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.
Authors
- Anetta Szynal‐Liana (ORCID: https://orcid.org/0000-0001-5508-0640)
- Dorota Bród (ORCID: https://orcid.org/0000-0001-5181-1725)
Institutions
- Rzeszów University of Technology (PL)
Publication Details
- Journal
- Annales Mathematicae Silesianae
- Published
- 2024-08-29
- DOI
- https://doi.org/10.2478/amsil-2024-0019
- Citations
- 1
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.28