Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings-Reference-Cited by-同舟云学术

Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings

Published:2017 Issue:7 Volume:31 Page:1843-1856
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Liu Zhihong¹,Jiang Yueping²,Sun Yong³

Affiliation:

1. School of Mathematics and Econometrics, Hunan University, Changsha, Hunan, People’s Republic of China + Honghe University, College of Mathematics, Mengzi, Yunnan, People’s Republic of China

2. Hunan University, School of Mathematics and Econometrics, Changsha, Hunan, People’s Republic of China

3. Hunan Institute of Engineering, School of Science, Xiangtan, People’s Republic of China

Abstract

In the present paper, we prove the convolutions of generalized harmonic right half-plane mappings with harmonic vertical strip mappings are univalent and convex in the horizontal direction. Moreover, some examples of harmonic univalent mappings convex in the horizontal direction are also constructed to illuminate the main results.

Publisher

National Library of Serbia

Subject

General Mathematics

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