A boundary value problem for hypermonogenic functions in Clifford analysis

机译：Clifford分析中高单调函数的边值问题

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This paper deals with a boundary value problem for hypermonogenic functions in Clifford analysis. Firstly we discuss integrals of quasi-Cauchy's type and get the Plemelj formula for hypermonogenic functions in Clifford analysis, and then we address Riemman boundary value problem for hypermonogenic functions.

机译：本文讨论了Clifford分析中超单调函数的边值问题。首先，我们讨论了拟Cauchy型积分，并在Clifford分析中获得了超高纯函数的Plemelj公式，然后我们讨论了超高纯函数的Riemman边值问题。

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来源
《Mathematics Several Complex Variables and Complex Geometry; ;》||P.324-332|共9页
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作者
QIAO Yuying;
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作者单位

Hebei Normal University, Shijiazhuang 050016, China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
clifford analysis; quasi-cauchy's integral; hypermonogenic functions; boundary value problem;

机译：悬崖分析；拟柯西积分；超函数；边值问题;

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专利

1. A boundary value problem for hypermonogenic functions in Clifford analysis [J] . QIAO Yuying Science in China. Series A, Mathematics, physics, astronomy . 2005,第MayS期

机译：Clifford分析中高单调函数的边值问题
2. Complex k-hypermonogenic functions in complex Clifford analysis [J] . Xie Y., Yang H., Qiao Y. Complex variables and elliptic equations . 2013,第9a10期

机译：复杂Clifford分析中的复杂k-超基因功能
3. Generalized Cauchy Theorem in Clifford Analysis and Boundary Value Problems for Regular Functions [J] . Luo Weiyu, Du Jinyuan Advances in applied Clifford algebras . 2017,第3期

机译：克利福德分析的广义Cauchy定理与常规功能的边值问题
4. HYPERMONOGENIC FUNCTIONS ANDBIHYPERMONOGENIC FUNCTIONSIN REAL CLIFFORD ANALYSIS [C] . YUYING QIAO, HEJU YANG, XIAOLI BIAN International Society for Analysis, Applications, and Computation . 2009

机译：Hyperogenic功能andbihypermonogingic功能真正的Clifford分析
5. Elliptic boundary value problems Cl(0,n)-complete function systems and the Clifford II-operator [D] . Lakew, Dejenie Alemayehu 2000

机译：椭圆边值问题Cl（0，n）-完全函数系统和Clifford II-算子
6. Analysis of tangential contact boundary value problems using potential functions [O] . Adam G. Taylor, Jae H. Chung 2019

机译：使用势函数分析切向接触边界值问题
7. The Boundary Value Problem with Haseman-shift for k-regular Functions on Unbounded Domains in Clifford Analysis [O] . Yan Zhang 2016

机译：克利福德分析中无界域的K-常规功能的Haseman转移边界值问题

A boundary value problem for hypermonogenic functions in Clifford analysis

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