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| 一类亚解析函数的复合边值问题 |
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王莹,李东辉,库敏
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1. 武汉大学数学与统计学院,湖北武汉,430072
2. 河南广播电视大学机械电子工程系,河南郑州,450008
3. 清华大学计算机科学与技术系,北京,100084
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| 摘要: |
| 本文研究了一类亚解析函数的复合边值问题.利用经典的消去法和对称扩张,得到了边值问题的可解条件和解的表达式.推广了解析函数的相应理论. |
| 关键词: 复合边值问题 亚解析函数 多解析函数 |
| DOI： |
| 分类号:O174.5 O175.8 |
| 基金项目:National Natural Science Foundation of China，RFDP of Higher Education of China，863 Project of China |
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| ON COMPOUND BOUNDARY VALUE PROBLEM FOR A CLASS OF METAANALYTIC FUNCTIONS |
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WANG Ying,LI Dong-hui,KU Min
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WANG Ying1,LI Dong-hui2,KU Min3 (1. School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China) (2. Dept. of Mechanical & Electronic Engineering,Henan Radio and Television University,Zhengzhou 450008,China) (3. Dept. of Computer Science & Technology,Tsinghua University,Beijing 100084,China)
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| Abstract: |
| In this article, we discuss a kind of compound boundary value problem for metaanalytic functions. By using elimination method and symmetric extension, the expression of solution and the condition of solvability for the above problem are obtained explicitly, which generalizes the existing result for analytic functions. |
| Key words: compound boundary value problem metaanalytic function polyanalytic function |
