华侨大学学报（自然科学版）Issue(5)：603-608,6.DOI:10.11830/ISSN.1000-5013.2015.05.0603
调和映照与像域为线性连结的剪切函数的关系
Relation Between Harmonic Mapping and Its Shear Function With Linearly Connected Image Domain
摘要
Abstract
Suppose that f(z)=h(z)+g(z)is a locally univalent harmonic mapping on the unit disk D ={z||z|<1},if its shear function h(z)-g(z)is univalent with linearly connected image domain,we consider the univalence and the im-age properties of h(z),Fλ(z)=h(z)+λg (z)under some restriction conditions of the dilatation of f(z).Our results im-prove and generalize some results made in CHEN Shao-lin.关键词
调和映照/线性连结/调和拟共形映照/α近于凸Key words
harmonic mapping/linearly connected domain/harmonic quasiconformal mapping/α-close-to convex分类
数理科学引用本文复制引用
占龙俊,黄心中..调和映照与像域为线性连结的剪切函数的关系[J].华侨大学学报（自然科学版）,2015,(5):603-608,6.基金项目
国家自然科学基金资助项目（11471128）；福建省自然科学基金资助项目 （）
