双解析函数在开口弧段上的Riemann边值逆问题  

Inverse Riemann Boundary Value Problem for Bianalytic Functions along Open Arcs

作　　者：鄢盛勇[1] 

机构地区：[1]四川教育学院数学系,四川成都611130

出　　处：《云南民族大学学报（自然科学版）》2012年第2期125-129,共5页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：四川省教育厅重点项目(09ZA091;10ZC127);四川教育学院科研重点项目(CJYKT10-011)

摘　　要：给出了双解析函数在开口弧段上Riemann边值逆问题及正则型与非正则型的提法.利用双解析函数与解析函数在开口弧段上Riemann边值问题相关理论,得到了正则型情况下双解析函数在开口弧段上Riemann边值逆问题的可解条件及解表达式.A formulation of a class of inverse Riemann boundary value problem for bianalytic functions along open arcs is proposed, its normal and non - normal cases are also proposed. On the basis of the theory of bianalytic functions and the Riemann boundary value problems for analytic functions along open arcs, the solvable conditions and the representations of the solutions for the normal case are obtained.

关 键 词：RIEMANN边值逆问题 双解析函数 开口弧段 正则型 

分 类 号：O175.8[理学—数学]