| Clifford分析中两类函数的Cauchy积分公式及其相关问题 |
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| 引用本文： | 陈雪,张婷婷,谢永红.Clifford分析中两类函数的Cauchy积分公式及其相关问题[J].高校应用数学学报(A辑),2019,34(2):190-202. |
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| 作者姓名： | 陈雪 张婷婷 谢永红 |
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| 作者单位： | 河北师范大学 数学与信息科学学院,河北石家庄,050024;石家庄职业技术学院 经济贸易系,河北石家庄,050081 |
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| 基金项目： | 国家自然科学基金;国家自然科学基金;河北师范大学重点项目 |
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| 摘 要： | 主要研究了两类函数的Cauchy积分公式及其相关问题.首先给出了Clifford分析中右hypergenic函数的Cauchy积分公式,其次研究了右hypergenic函数拟Cauchy型积分的性质,最后给出了Clifford分析中双hypergenic函数的Cauchy积分公式.
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| 关 键 词： | CLIFFORD分析 右hypergenic函数 双hypergenic函数 CAUCHY积分公式 |
Cauchy integral formulas for two kinds of functions in Clifford analysis and the related problems |
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| CHEN Xue,ZHANG Ting-ting,XIE Yong-hong.Cauchy integral formulas for two kinds of functions in Clifford analysis and the related problems[J].Applied Mathematics A Journal of Chinese Universities,2019,34(2):190-202. |
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| Authors: | CHEN Xue ZHANG Ting-ting XIE Yong-hong |
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| Institution: | (College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang 050024,China;Shijiazhuang University of Applied Technology,Department of Economics and Trade,Shijiazhuang 050081,China) |
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| Abstract: | This paper mainly studies Cauchy integral formulas for two kinds of functions and the related problems. Firstly, the Cauchy integral formula for right hypergenic functions in Clifford analysis is given. Then, the properties of the right hypergenic quasi-Cauchy type integral are studied.Finally, the Cauchy integral formula for bihypergenic functions in Clifford analysis is given. |
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| Keywords: | Clifford analysis right hypergenic function bihypergenic function Cauchy integral formula |
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