华侨大学学报(自然科学版)2012,Vol.33Issue(1):107-111,5.
非平凡双向单叶调和映照的微分方程
On Differential Equations for Non-Trivial Bilateral Univalent Harmonic Mappings
摘要
Abstract
In this paper, we obtained a necessary and sufficient conditions that a sense preserving and univalent harmonic mapping in a simply connected domain is a non-trivial bilateral univalent harmonic mapping. We also obtain some esti-mates of coefficients and area distortion bound for non-trivial bilateral univalent harmonic mappings in a unit disk.关键词
单叶调和函数/微分方程/双向单叶调和函数/系数估计/面积偏差Key words
univalent harmonic mappings/ differential equation/ bilateral univalent harmonic-mappings/ coefficient esti-mate/ area distortion分类
数理科学引用本文复制引用
胡春英,黄心中..非平凡双向单叶调和映照的微分方程[J].华侨大学学报(自然科学版),2012,33(1):107-111,5.基金项目
福建省自然科学基金资助项目(2008J0195) (2008J0195)
华侨大学科研基金资助项目(11HZR17) (11HZR17)