Conformal mapping of a symmetrically horizontal slit rectangle onto a rectangle with a square removed

被引：0
|
作者：
Bah, Alpha Mamadou [1 ]
机构：
[1] Hiroshima Univ, Grad Sch Engn, Dept Appl Math, Hiroshima 7398527, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期
关键词：
Conformal mapping; Doubly-connected domains; Modulus of rectangle;
D O I：
10.1016/j.na.2009.05.058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Suppose that a rectangle with a longitudinally symmetric slit is given. Then we want to find another rectangle with a square removed and a conformal mapping between them so that the ordered set of four vertices is mapped on the other ordered set of four vertices. We also determine the modulus of the image rectangle and the size of the square removed. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：E2427 / E2430
页数：4
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