Fueter’s Theorem for One Class of Pseudoanalytic Functions

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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