Two-Sided Hypergenic Functions

In this paper we present an analogous of the class of two-sided axial monogenic functions to the case of axial κ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\kappa}$$\end{document}-hypermonogenic functions. In order to do that we will solve a Vekua-type system in terms of Bessel functions.