On Mersenne Numbers and their Bihyperbolic Generalizations
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Anetta Szynal-Liana
Rzeszow University of Technology, Faculty of Mathematics and Applied PhysicsRzeszów, Poland
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Aug 29, 2024
About this article
Published Online: Aug 29, 2024
Page range: 130 - 142
Received: May 19, 2024
Accepted: Jul 24, 2024
DOI: https://doi.org/10.2478/amsil-2024-0019
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© 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.