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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29. Aug. 2024
Über diesen Artikel
Online veröffentlicht: 29. Aug. 2024
Seitenbereich: 130 - 142
Eingereicht: 19. Mai 2024
Akzeptiert: 24. Juli 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.