Fueter’s Theorem for One Class of Pseudoanalytic Functions

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2024-10-26 DOI:10.1007/s00006-024-01361-8

Yuanyuan Han, Pan Lian

引用次数: 0

Abstract

In this paper, we extend Fueter’s theorem in hypercomplex function theory to encompass a class of pseudoanalytic functions associated with the main Vekua equation. This class includes Duffin’s \(\mu \)-regular functions as special cases, which correspond to the Yukawa equation. As the parameter \(\mu \rightarrow 0\), we recover the classical Fueter’s theorem.

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一类伪解析函数的 Fueter 定理

在本文中，我们扩展了 Fueter 在超复变函数理论中的定理，以涵盖一类与主 Vekua 方程相关的伪解析函数。这一类函数包括作为特例的达芬（Duffin）的（\(\mu \）-正则函数，它们与汤川方程相对应。由于参数 \(\mu \rightarrow 0\), 我们恢复了经典的 Fueter 定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Applied Clifford Algebras 数学-物理：数学物理

CiteScore

2.20

自引率

13.30%

发文量

审稿时长

3 months

期刊介绍： Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.