华侨大学学报（自然科学版）2013，Vol.34Issue(2)：225-229,5.
某些调和函数的系数估计与像区域的近于凸性质
Coefficient Estimate and Close-to-Convex Image Domain Property for Some Harmonic Functions
摘要
Abstract
Let CH(λ) be the harmonic mappings on the unit disk D={z||z|<1}. In this paper, we first find one sufficient condition for them to be harmonic quasiconformal mappings and give their analytical part and conjugate part's coefficient estimate. Next, under one coefficient bound condition for harmonic functions, we find the lower bound estimates for their close-to-convex and star-like radius in their image domains. Our results improve and generalize the one made by Kalaj recently.关键词
调和函数/拟共形映照/系数不等式/近于凸Key words
harmonic mapping/ quasiconformal mapping/ coefficient inequality/ close-to-convex分类
数理科学引用本文复制引用
王其文,黄心中..某些调和函数的系数估计与像区域的近于凸性质[J].华侨大学学报（自然科学版）,2013,34(2):225-229,5.基金项目
福建省自然科学基金资助项目(2011J0101) （2011J0101）
