Fueter's theorem for the biregular functions of Clifford analysis

TL;DR

This paper generalizes Fueter's theorem from monogenic functions to biregular functions within Clifford analysis, expanding the theoretical framework for higher-dimensional function theory.

Contribution

It introduces a new extension of Fueter's theorem applicable to biregular functions in Clifford analysis, broadening the scope of the original theorem.

Findings

Extended Fueter's theorem to biregular functions

Provides theoretical foundation for biregular function analysis

Enhances understanding of Clifford analysis structures

Abstract

In this paper we present a generalization of the Fueter's theorem for monogenic functions to the case of the biregular functions of Clifford analysis.