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.
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页码：792 / 800
页数：9
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