有界多连通区域上的Riemann边值问题解法  

Solution to Riemann Boundary Value Problem in Bounded Multi Connected Region

作　　者：赵锐波 

机构地区：[1]天津职业技术师范大学,天津300222

出　　处：《天津职业大学学报》2016年第5期85-86,共2页Journal of Tianjin Vocational Institute

摘　　要：对定义在仅有一条封闭曲线的Riemann边值问题(单连通R问题)的解法进行推广,得到有界多连通区域上的Riemann边值问题(多连通R问题)的解法。并且得出单连通R问题和多连通R问题的解具有相关性。Solution to Riemann boundary value problem （singly connected R problem） defined in only a closed curveis generalized to gainthe solution to the Riemann boundary value problems （multi connected R problem） defined in bounded multi connected region.It is also gainedthat the solutionsto the singly connected R problem and the multi connected R problem are related.

关 键 词：RIEMANN边值问题 PLEMELJ公式 指标 有界多连通区域 典则函数 

分 类 号：O175.8[理学—数学]