On the linear combinations of harmonic univalent mappings

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:400

Article

Wang, Zhi-Gang¹  Liu, Zhi-Hong²  Li, Ying-Chun² 

[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455002, Henan, Peoples R China

[2] Honghe Univ, Dept Math, Mengzi 661100, Yunnan, Peoples R China

关键词: Harmonic univalent mappings;    Linear combination;    Shear construction;   

DOI  :  10.1016/j.jmaa.2012.09.011

来源: Elsevier

【 摘 要 】

In this paper, we derive several sufficient conditions of the linear combinations of harmonic univalent mappings to be univalent and convex in the direction of the real axis. Furthermore, some illustrative examples and imagine domains of the linear combinations satisfying the desired conditions are enumerated. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free