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Algebraic interpretations of hyperbolic functionsopen access
- Issue Date
- Dec-2024
- Publisher
- UNIV 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
- 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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