One class of generalized boundary value problem for analytic functions

被引：22
|
作者：
Li, Pingrun [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2015年
关键词：
boundary value problem for analytic functions; index; canonical function; the function class {1};
D O I：
10.1186/s13661-015-0301-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a boundary value problem for analytic functions with two unknown functions on two parallel straight lines is studied, the general solutions in the different domains as well as the conditions of solvability are obtained in class {1}, and the behaviors of solutions are discussed at z = infinity and in the different domains, respectively. Therefore, the classic Riemann boundary value problem is extended further.
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页数：11
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