On Some Quaternionic Generalized Slice Regular Functions

The quaternionic valued functions of a variable, often referred to as slice regular functions, has been studied extensively due the large number generalized results theory one complex variable. Recently, several global properties these found such Borel–Pompieu formula and Stokes’ Theorem from study differential operator, see González-Cervantes González-Campos (Complex Var Ellipt Equ 66(5):1–10, 2021, https://doi.org/10.1080/17476933.2020.1738410 ). aim this paper is present kind that on slices coincide with pairs holomorphic associated Vekua problems. are obtained perturbed global-type operator among their local presented in work versions Splitting Lemma, Representation conformal property.