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| 无穷直线上N正则函数的Riemann边值问题 | |
| 引用本文： | 姚益民,敬连顺. 无穷直线上N正则函数的Riemann边值问题[J]. 四川师范大学学报(自然科学版), 2006, 29(4): 443-446 |
| 作者姓名： | 姚益民 敬连顺 |
| 作者单位： | 康定民族师范高等专科学校,数学系,四川,康定,626001;康定民族师范高等专科学校,基础部,四川,康定,626001 |
| 摘 要： | 研究了N正则函数的零点和奇点的孤立性，并对它的孤立奇点进行了分类．给出了N正则函数在无穷直线上的Cauchy型积分，获得了该型积分边界值的Plemelj公式．提出了N正则函数在无穷直线上的Riemann边值问题R，讨论了该问题的特殊情形R0的可解性，并给出了该问题的非齐次情形的可解条件，获得了该问题的可解性定理． |
| 关 键 词： | N正则函数 无穷直线 Cauchy型积分 Riemann边值问题 |
| 文章编号： | 1001-8395（2006）04-0443-04 |
| 收稿时间： | 2005-03-28 |
| 修稿时间： | 2005-03-28 |
The Riemann Boundary Value Problem for N-Regular Functions on Infinite Straight Line |
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| YAO Yi-min,GOU Lian-shun. The Riemann Boundary Value Problem for N-Regular Functions on Infinite Straight Line[J]. Journal of Sichuan Normal University(Natural Science), 2006, 29(4): 443-446 | |
| Authors: | YAO Yi-min GOU Lian-shun |
| Abstract: | The isolated properties of the zero and singular points for N-regular functions are investigated. The isolated singular points are classified. The Cauchy form integral and its boundary value formula of Plemelj for N-regular functions on infinite line are obtained. The Riemann boundary value problem for N-regular functions on infinite line are proposed. The solvability of the problem about its particular cases are discussed, an solvable condition of the problem for nonhomogeneous case is also obtained, the theorems of solvability of the problem are obtained. |
| Keywords: | N-regular function Infinite straight line Cauchy type integral Riemann boundary value problem |
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