Some basic properties of certain subclass of harmonic univalent functions

被引：8
|
作者：
Ghosh, Nirupam [1 ]
Vasudevarao, A. [1 ]
机构：
[1] Indian Inst Technol Kharagpur, Dept Math, Kharagpur, W Bengal, India
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2018年 / 63卷 / 12期
关键词：
Analytic; univalent; starlike; convex functions; close-to-convex; harmonic functions; subordination; coefficient estimates; convolution; STARLIKE; MAPPINGS;
D O I：
10.1080/17476933.2017.1403426
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
ForM > 0, let BH0(M) denote the class of sense preserving harmonic mappings f = h+ g in the unit diskDsatisfying | zh (z)| = M-| zg (z)|. The main aim of this paper is to study some basic properties such as coefficient bounds, growth estimates and convolution for functions in the class BH0(M). We end the paper with an application, and construct harmonic univalent polynomials belonging to BH0(M).
引用
收藏
页码：1687 / 1703
页数：17
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