Algebraic interpretations of hyperbolic functions

Siriluk Donganont, Hee Sik Kim, Sun Shin Ahn, Choonkil Park

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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