The Fueter mapping theorem in integral form and the ℱ‐functional calculus

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Entire slice regular functions (2015, background): “The F-functional calculus, see [18, 41, 63, 67, 68], which is based on the Fueter mapping theorem in integral form, is a monogenic functional calculus in the spirit of the one developed in [128, 129, 130, 138, 134], but it is associated to slice hyperholomorphicity.”
A New Resolvent Equation for the $$S$$S-Functional Calculus (2013, methodology): “situation. With the above consideration the new resolvent equation remains the same also for unbounded operators. (II) The F-spectrum is also useful to deﬁned the so called F-functional calculus, see [5, 16]. This calculus is deﬁned using the Fueter-Sce-Qian mapping theorem in integral form, see [22”
On Two Approaches to the Bergman Theory for Slice Regular Functions (2013, background): “More in general, by slice hyperholomorphic functions we mean both slice regular functions and slice monogenic functions which are the monogenic version of the theory of slice regular functions, see [6, 8, 10, 11].”