A. Altavilla

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math.CV2019

Equivalence of slice semi-regular functions via Sylvester operators

Amedeo Altavilla, Chiara de Fabritiis

The aim of this paper is to study some features of slice semi-regular functions $R M (Ω)$ on a circular domain $Ω$ contained in the skew-symmetric algebra of quaternions $\…

math.CV2018

$*$ -exponential of slice-regular functions

Amedeo Altavilla, Chiara de Fabritiis

According to [5] we define the $*$ -exponential of a slice-regular function, which can be seen as a generalization of the complex exponential to quaternions. Explicit formulas for $…

Equivalence of slice semi-regular functions via Sylvester operators

∗-exponential of slice-regular functions

$*$ -exponential of slice-regular functions