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math.RA2023
On scaled hyperbolic numbers induced by scaled hyperbolic rings
Daniel Alpay, Ilwoo Cho
In this paper, we generalize the well-known hyperbolic numbers to certain numeric structures scaled by the real numbers. Under our scaling of , the usual hyperbolic num…
math.FA2023
Regular Functions on the Scaled Hypercomplex Numbers
Daniel Alpay, Ilwoo Cho
In this paper, we study the regularity of -differentiable functions on open connected subsets of the scaled hypercomplex numbers $\left\{ \mathbb{H}_{t}\right\} _{t\in\…