Representation of Weinstein k-Monogenic Functions by Differential Operators

This paper deals with a type of generalized monogenic functions in Clifford analysis, the so-called Weinstein k-monogenic function. We will give an explicit representation of the Weinstein k-monogenic functions by differential operators of Bauer’s type in the cases k=2m,m∈N∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k=2m,m\in {\mathbb {N}}^*$$\end{document}.