On a Generalization of Fueter’s Theorem

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A nonconstant coefficients differential operator associated to slice monogenic functions (2012, background): “The subclass of functions with α, β real-valued appear in the literature in several papers, in particular in the works related to the Fueter mapping theorem; see for example [12, 13, 16, 18, 20, 21, 22, 23, 24, 25].”
Entire slice regular functions (2015, background): “This class of functions when α and β are real quaternionic or, more in general, Clifford algebra valued is well known: they are the so-called holomorphic functions of a paravector variable, see [126, 149], which were later studied in the setting of real alternative algebras in [116].”
The Fueter mapping theorem in integral form and the ℱ‐functional calculus (2010, background): “The previous Lemma shows that any slice monogenic function on an axially symmetric s-domain is a holomorphic function of a paravector variable in the sense of [20], in other words, we have the following Corollary (see also [4]):”
The inverse Fueter mapping theorem (2011, background): “The Fueter mapping theorem can be stated in differential form in various versions, see [24], [25], [26], [27], [28], [29], [30] and the literature therein.”