| 扇形域上高阶Schwarz边值问题 |
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| 引用本文： | 王莹,叶留青,童丽珍.扇形域上高阶Schwarz边值问题[J].数学杂志,2016,36(1):1-5. |
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| 作者姓名： | 王莹 叶留青 童丽珍 |
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| 作者单位： | 中南财经政法大学统计与数学学院, 湖北 武汉 430073,焦作师范高等专科学校数学系, 河南 焦作 454002,中南财经政法大学统计与数学学院, 湖北 武汉 430073 |
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| 基金项目： | Supported by Tianyuan Foundation of China (11326087);the Fundamental Research Funds for the Central Universities;the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry. |
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| 摘 要： | 本文主要讨论一类角度为θ=π/α,α≥1/2的扇形域上高阶多解析方程的Schwarz边值问题.通过构造适当的高阶-Schwarz算子和Pompeiu算子,我们给出了详细的解表达式.本文把边值问题进一步推广到高阶情形,丰富了扇形域上边值问题的发展.
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| 关 键 词： | Schwarz问题 高阶-Schwarz算子 Pompeiu算子 |
| 收稿时间： | 2013/7/9 0:00:00 |
| 修稿时间： | 2013/9/4 0:00:00 |
HIGH ORDER SCHWARZ BOUNDARY VALUE PROBLEM IN A SECTOR |
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| WANG Ying,YE Liu-qing and TONG Li-zhen.HIGH ORDER SCHWARZ BOUNDARY VALUE PROBLEM IN A SECTOR[J].Journal of Mathematics,2016,36(1):1-5. |
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| Authors: | WANG Ying YE Liu-qing and TONG Li-zhen |
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| Institution: | School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, China,Dept. of Math., Jiaozuo Teachers College, Jiaozuo 454002, China and School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, China |
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| Abstract: | |
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| Keywords: | Schwarz problem Poly-Schwarz operator Pompeiu operator |
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