ON SOME SUBCLASSES OF HARMONIC MAPPINGS

被引：6

作者：

Ghosh, Nirupam ^{[1
]}

Allu, Vasudevarao ^{[2
]}

机构：

[1] Indian Inst Technol Kharagpur, Dept Math, Kharagpur 721302, W Bengal, India

[2] Indian Inst Technol Bhubaneswar, Sch Basic Sci, Bhubaneswar 752050, Odisha, India

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2020年 / 101卷 / 01期

关键词：

analytic; univalent; starlike; convex; close-to-convex; harmonic mapping; convolution; right half-plane mapping; UNIVALENT; CONVEX;

D O I：

10.1017/S0004972719000698

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let P0 H ( M) denote the class of normalised harmonic mappings f = h + g in the unit disk D satisfying Re (zh00(z)) > M + jzg00(z) j, where h0 (0) 1 = 0 = g0(0) and M > 0. Let B0 H (M) denote the class of sense-preserving harmonic mappings f = h + g in the unit disk D satisfying jzh00 (z) j M jzg00 (z) j, where M > 0. We discuss the coe fficient bound problem, the growth theorem for functions in the class P0 H (M) and a two-point distortion property for functions in the class B-H(0) (M).

引用

页码：130 / 140

页数：11

共 15 条

[1] Harmonic Maps and Ideal Fluid Flows [J].