Coefficient bounds for biholomorphic mappings which have a parametric representation

被引：10

作者：

Xu, Qing-Hua ^{[1
]}

Liu, Tai-Shun ^{[2
]}

机构：

[1] JiangXi Normal Univ, Coll Math & Informat Sci, Nanchang 330027, Peoples R China

[2] Huzhou Teachers Coll, Dept Math, Huzhou 31300, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 355卷 / 01期

关键词：

Loewner chain; g-Loewner chain; Coefficient bounds; SUFFRIDGE EXTENSION OPERATOR; COMPLEX-VARIABLES; UNIVALENT MAPPINGS; STARLIKE MAPPINGS; GROWTH THEOREMS; LOEWNER CHAINS;

D O I：

10.1016/j.jmaa.2009.01.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let B be the unit ball in C-n with respect to an arbitrary norm parallel to (center dot) parallel to and let f (z, t) be a g-Loewner chain such that z = 0 is a zero of order k + 1 of e(-t) f (z, t) - z for each t >= 0. In this paper, the authors obtain coefficient bounds of mappings in S-g,k+1(0) (B). These results generalize the related works of Hamada, Honda and Kohr. (c) 2009 Elsevier Inc. All rights reserved.

引用

页码：126 / 130

页数：5

共 15 条

[11] Extremal Problems for Mappings with Generalized Parametric Representation in Cn
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[12] Bounded support points for mappings with g-parametric representation in C2
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[14] Growth and Distortion Results for a Class of Biholomorphic Mapping and Extremal Problem with Parametric Representation in Cn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {C}^n$$\end{document}
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[15] Extremal Problems for Mappings with Generalized Parametric Representation in Cn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathbb {C}}}^{n}$$\end{document}
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