摘要
本文对于给定的Betrami系数a(z)找到了存在将单位圆盘U映射为给定的多边形P并且满足方程的单叶调和保向映射函数f(z)的条件。
In this paper it was found the conditions of existence of the univalent harmonic orientation-preserving mapping f(z) which satisfies the equation =a(z)f_z for given Beltrami coefficient a(z) and maps unit disk U onto a given polygon P.
出处
《纯粹数学与应用数学》
CSCD
1998年第4期89-94,84,共7页
Pure and Applied Mathematics
基金
广西教育厅科研基金,编号:GJK1998-69
关键词
象域
单叶调和映射
保向映射
多边形
univalent
harmonic
orientation-preserving mapping
polygon
