Schwarz problem for bi-analytic functions in multiply connected domains

被引：5

作者：

Celebi, A. O. ^{[1
]}

Mityushev, V. V. ^{[2
]}

机构：

[1] Yeditepe Univ, Dept Math, Istanbul, Turkey

[2] Pedag Univ Cracow, Dept Comp Sci & Computat Methods, Krakow, Poland

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2015年 / 60卷 / 04期

关键词：

Riemann-Hilbert problem; multiply connected domain; bi-analytic function; 30E25; BOUNDARY-VALUE-PROBLEMS; DIRICHLET PROBLEM; NEUMANN PROBLEM;

D O I：

10.1080/17476933.2014.950258

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Schwarz problem for bi-analytic functions in unbounded circular multiply connected domains is considered. We combine constructive methods applied to boundary value problems for complex partial differential equations in simply connected domains and for the Riemann-Hilbert type problems in multiply connected domains. A general method is outlined and the case of doubly connected domains is discussed in details. Solution is obtained in the form of a series.

引用

页码：566 / 582

页数：17

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