Mapping of a Half-Plane Onto a Polygon with Infinitely Many Vertices

被引：0

作者：

Salimov, R. B. ^{[1
]}

Shabalin, P. L. ^{[1
]}

机构：

[1] Kazan State Univ Architecture & Engn, Ul Zelyonaya 1, Kazan 420043, Russia

来源：

RUSSIAN MATHEMATICS | 2009年 / 53卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

Schwarz-Christoffel integral; inverse problem; exponent of convergence;

D O I：

10.3103/S1066369X09100107

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we generalize the Schwarz-Christoffel formula for a conformal mapping of a half-plane onto a certain polygon with infinitely many vertices. We assume that the interior angles of the polygon (at unknown vertices) and the points of the real axis that are images of unknown vertices under the mentioned mapping are given.

引用

页码：68 / 71

页数：4