华侨大学学报（自然科学版）Issue(1)：120-124,5.DOI:10.11830/ISSN.1000-5013.2016.01.0120
某类调和函数的单叶半径和 Landau定理
On the Univalent Radius and Landau Theorem for Some Harmonic Mappings
摘要
Abstract
To the harmonic mappings f(z)=h(z)+g(z)with their analytic parts h(z)have the property of Re({1+z h″(z) h′(z)}>c (- 12 <c ≤0)on a unit disk D ,if the dilatation function w(z)=zn or|w(z)|<1,the stable close-to-convex radius and the univalent radius estimates are obtained respectively.Moreover,we also consider Landau theorem for har-monic functions with some other conditions,our results improve the one made by Chen.关键词
调和函数/稳定近于凸/单叶半径/Landau定理Key words
harmonic mapping/stable close-to-convex/univalent radius/Landau theorem分类
数理科学引用本文复制引用
黄心中,黄赟..某类调和函数的单叶半径和 Landau定理[J].华侨大学学报（自然科学版）,2016,(1):120-124,5.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 （）
