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Algebraic interpretations of hyperbolic functionsopen access

Authors
Donganont, SirilukKim, Hee SikAhn, Sun ShinPark, Choonkil
Issue Date
2025
Publisher
University of Nis
Keywords
hyperbolic; (linear) groupoid; quadratic algebra; cubic algebra
Citation
Filomat, v.39, no.29, pp 10339 - 10348
Pages
10
Indexed
SCIE
SCOPUS
Journal Title
Filomat
Volume
39
Number
29
Start Page
10339
End Page
10348
URI
https://scholarworks.dongguk.edu/handle/sw.dongguk/62640
DOI
10.2298/FIL2529339D
ISSN
0354-5180
2406-0933
Abstract
In this paper, we obtain an algebraic interpretation of hyperbolic functions. By using four conditions, we define a hyperbolic algebra over reals, and we prove that linear groupoids or commutative cubic algebras cannot be a hyperbolic algebra, but the quadratic algebras can be hyperbolic algebras under some conditions.
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