| 一类共轭解析函数的Riemann边值逆问题 |
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| 引用本文： | 姚益民,曾纯一. 一类共轭解析函数的Riemann边值逆问题[J]. 西南民族学院学报(自然科学版), 2006, 32(1): 30-35 |
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| 作者姓名： | 姚益民 曾纯一 |
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| 作者单位： | 康定民族师范专科学校教学系 四川康定626001(姚益民)，西南民族大学预科教育学院 四川成都610041(曾纯一) |
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| 摘 要： | 给出了共轭解析函数的一类Riemann边值逆问题的数学提法,在将此边值逆问题转化为边值问题的基础上,借助于共轭解析函数边值问题的相关理论,讨论了该逆问题的可解性,获得了该逆问题的正则型和非正则型情况的解的积分表达式．
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| 关 键 词： | 正则型和非正则型 分片共轭解析函数 Riemann边值逆问题 |
| 文章编号： | 1003-2843（2006）01-0030-06 |
| 收稿时间： | 2005-07-01 |
| 修稿时间： | 2005-07-01 |
A class of inverse Riemann boundary value problem for conjugate analytic functions |
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| YAO Yi-min,ZENG Chun-yi. A class of inverse Riemann boundary value problem for conjugate analytic functions[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2006, 32(1): 30-35 |
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| Authors: | YAO Yi-min ZENG Chun-yi |
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| Affiliation: | 1 .Department of Mathematics, Kangding Teachers Colloge, Kangding 626001, P.R.C.; 2. Southwest University for Nationalities, Chengdu 610041, P.R.C. |
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| Abstract: | In this paper, the mathematical formulation of a class of inverse Riemann boundary value problemsfor conjugate analytic functions is presented. On the basis of transferring these inverse boundary valueproblems into direct problems for conjugate analytic functions, the solvability of the inverse problems isdiscussed, the integral representations of solutions of the regular and irregular cases to these inverse Riemannboundary value problems are obtained. |
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| Keywords: | regular and irregular cases piecewise conjugate analytic function inverse Riemann boundaryvalue problem |
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