On Mersenne Numbers and their Bihyperbolic Generalizations

Dorota Bród; Anetta Szynal-Liana

doi:10.2478/amsil-2024-0019

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On Mersenne Numbers and their Bihyperbolic Generalizations

Annales Mathematicae Silesianae

Volume 39 (2025): Issue 1 (March 2025)

By: Dorota Bród and Anetta Szynal-Liana

Open Access

|Aug 2024

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.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2024-0019 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 130 - 142

Submitted on: May 19, 2024

Accepted on: Jul 24, 2024

Published on: Aug 29, 2024

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

11B37,

11B39

Related subjects:

Mathematics,

General mathematics

© 2024 Dorota Bród, Anetta Szynal-Liana, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 39 (2025): Issue 1 (March 2025)