双复调和函数的中值定理

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2023-06-21 DOI:10.1007/s00006-023-01285-9

Abdelkader Abouricha, Aiad El Gourari, Allal Ghanmi

引用次数: 0

摘要

中值定理是分析调和函数和椭圆偏微分方程的基本工具。在本文中，我们为具有双复数值的双复调和和强调和函数建立了它们的双复类似物。还讨论了它们的解析逆和刻画开幂等铁饼的几何逆。

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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Mean Value Theorems for Bicomplex Harmonic Functions

Mean value theorems appear as fundamental tools in the analysis of harmonic functions and elliptic partial differential equations. In the present paper, we establish their bicomplex analogs for bicomplex harmonic and strongly harmonic functions with bicomplex values. Their analytical converse as well as geometrical converse characterizing open idempotent discus are also discussed.

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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.