Riemann-Hilbert Problems for Multiply Connected Domains and Circular Slit Maps

被引：0

作者：

Vladimir Mityushev

机构：

[1] Pedagogical University Krakow,Department of Computer Sciences and Computer Methods

来源：

Computational Methods and Function Theory | 2012年 / 11卷 / 2期

关键词：

Riemann-Hilbert problem; functional equation; conformal mapping; 30C20; 30E25;

D O I：

10.1007/BF03321876

中图分类号：

学科分类号：

摘要：

A conformal mapping of a multiply connected circular domain onto a complex plane with circular slits is obtained. No restriction on the location of the boundary circles is assumed. The mapping is derived in terms of the uniformly convergent Poincaré series by solution to a Riemann-Hilbert boundary value problem.

引用

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页码：575 / 590

页数：15

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