| 双解析函数的Haseman边值问题 |
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| 引用本文： | 曾岳生.双解析函数的Haseman边值问题[J].系统科学与数学,2004,24(3):417-423. |
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| 作者姓名： | 曾岳生 |
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| 作者单位： | 怀化学院数学系数学研究所,湖南怀化,418008 |
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| 基金项目： | 湖南省教育厅科研基金资助项目 |
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| 摘 要： | 本文利用双解析函数的Cauchy型积分和带位移的奇异积分方程方法,研究并得到了双解析函数的Haseman边值问题的一般解的表示式和可解条件以及线性无关解的个数与指标之间的关系.
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| 关 键 词： | 双解析函数 边值问题 Cauchy型积分 奇异积分方程 指标 |
| 修稿时间： | 2001年2月19日 |
HASEMAN BOUNDARY VALUE PROBLEMS FOR BIANALYTIC FUNCTIONS |
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| Yue Sheng ZENG.HASEMAN BOUNDARY VALUE PROBLEMS FOR BIANALYTIC FUNCTIONS[J].Journal of Systems Science and Mathematical Sciences,2004,24(3):417-423. |
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| Authors: | Yue Sheng ZENG |
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| Institution: | Department of Mathematics, Institute of Mathematics Huaihua College, Hunan, Huaihua 418008 |
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| Abstract: | In this paper the Haseman boundary value problems for bianalytic functions is investigated. Using the Cauchy type integral of bianalytic functions and the singular integral equation method, we have not only establishep an explicit form the general solutions of the Haseman problems for bianalytic functions, but also found the conditions for the solvability of the above problem. And a relation between the index and the number of the linear independent solutions has been obtained. |
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| Keywords: | Bianalytic function boundary value problem Cauchy type integral singular integral equation index |
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