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
收藏
页码：781 / 791
页数：11
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