The Properties of a New Subclass of Harmonic Univalent Mappings

被引：5
|
作者：
Liu, Zhi-Hong [1 ]
Li, Ying-Chun [1 ]
机构：
[1] Honghe Univ, Coll Math, Mengzi 661199, Yunnan, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
DOMAINS; CONVEX;
D O I：
10.1155/2013/794108
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduced a new subclass of univalent harmonic functions defined by the shear construction in the present paper. First, we showed that the convolutions of two special subclass harmonic mappings are convex in the horizontal direction. Secondly, we proved a necessary and sufficient condition for the above subclass of harmonic mappings to be convex in the horizontal direction. We also presented some basic examples of univalent harmonic functions explaining the behavior of the image domains.
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页数：7
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