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arXiv · 2111.05089

A quaternionic perturbed fractional $\psi-$Fueter operator calculus

José Oscar González-Cervantes·Juan Bory-Reyes
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Abstract

Quaternionic analysis offers a function theory focused on the concept of $\psi-$hyperholomorphic functions defined as null solutions of the $\psi-$Fueter operator, where $\psi$ is an arbitrary orthogonal base (called structural set) of $\mathbb H^4$. The main goal of the present paper is to extend the results given in \cite{BG2}, where a fractional $\psi-$hyperholomorphic function theory was developed. We introduce a quaternionic perturbed fractional $\psi-$Fueter operator calculus, where Stokes and Borel-Pompeiu formulas in this perturbed fractional $\psi-$Fueter setting are presented.

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José Oscar González-Cervantes, Juan Bory-Reyes. 2021-11-09. A quaternionic perturbed fractional $\psi-$Fueter operator calculus. https://arxiv.org/abs/2111.05089

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