The sharp estimates of homogeneous expansions for the generalized class of close-to-quasi-convex mappings

被引：24

作者：

Xu, Qinghua ^{[1
]}

Liu, Taishun ^{[2
]}

Liu, Xiaosong ^{[3
]}

机构：

[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China

[2] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Zhejiang, Peoples R China

[3] Zhanjiang Normal Univ, Sch Math & Computat Sci, Zhanjiang 524048, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 389卷 / 02期

关键词：

Homogeneous expansions; Close-to-quasi-convex mappings; Strongly close-to-quasi-convex mappings of type alpha and order beta; COEFFICIENT BOUNDS; PARAMETRIC REPRESENTATION; HOLOMORPHIC MAPPINGS; GROWTH THEOREMS;

D O I：

10.1016/j.jmaa.2011.12.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the class of strongly close-to-quasi-convex mappings of type alpha and order beta is introduced in the unit ball of complex Banach space or unit polydisk in C-n, and we obtain the sharp estimates of homogeneous expansions for this class. These results generalize many known results. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：781 / 791

页数：11

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