CONFORMAL SLIT MAPS IN APPLIED MATHEMATICS

被引：35

作者：

Crowdy, Darren ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

来源：

ANZIAM JOURNAL | 2012年 / 53卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

conformal slit maps; Schottky-Klein prime function; multiply connected; MAPPINGS;

D O I：

10.1017/S1446181112000119

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Conformal slit maps play a fundamental theoretical role in analytic function theory and potential theory. A lesser-known fact is that they also have a key role to play in applied mathematics. This review article discusses several canonical conformal slit maps for multiply connected domains and gives explicit formulae for them in terms of a classical special function known as the Schottky-Klein prime function associated with a circular preimage domain. It is shown, by a series of examples, that these slit mapping functions can be used as basic building blocks to construct more complicated functions relevant to a variety of applied mathematical problems.

引用

页码：171 / 189

页数：19

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