Classes of analytic functions subordinate to convex functions and extreme points

被引：11

作者：

Hallenbeck, DJ ^{[1
]}

Hallenbeck, KT

机构：

[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

[2] Widener Univ, Dept Math, Chester, PA 19013 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 282卷 / 02期

关键词：

subordination; extreme point;

D O I：

10.1016/S0022-247X(03)00257-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove two sufficient conditions for an analytic function f to be an extreme point of the set of functions subordinate to a given convex mapping F when the image of the unit disk under F is a convex domain other than a half-plane, a strip or an infinite wedge. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：792 / 800

页数：9

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