Abstract
Let \(\Omega \) be a domain in the space of quaternions \(\mathbb{H}\), namely, an open connected subset of \(\mathbb{H} = \mathbb{R} + i\mathbb{R} + j\mathbb{R} + k\mathbb{R}\) and let
denote the 2-sphere of quaternionic imaginary units. We define the notion of regular function as follows.
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Gentili, G., Stoppato, C., Struppa, D.C. (2013). Definitions and Basic Results. In: Regular Functions of a Quaternionic Variable. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33871-7_1
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DOI: https://doi.org/10.1007/978-3-642-33871-7_1
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