On the Fekete and Szego Problem for the Class of Starlike Mappings in Several Complex Variables

被引：35

作者：

Xu, Qing-Hua ^{[1
]}

Liu, Tai-Shun ^{[2
]}

机构：

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

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

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

PARAMETRIC REPRESENTATION; COEFFICIENT BOUNDS; GROWTH THEOREMS;

D O I：

10.1155/2014/807026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S be the familiar class of normalized univalent functions in the unit disk. Fekete and Szego proved the well-known result max(f is an element of S) vertical bar a(3) -lambda a(2)(2)vertical bar - 1 + 2e(-2 lambda/(1-lambda)) for lambda is an element of [0, 1]. We investigate the corresponding problem for the class of starlike mappings defined on the unit ball in a complex Banach space or on the unit polydisk in C-n, which satisfies a certain condition.

引用

页数：6

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