Classes of analytic functions subordinate to convex functions and extreme points

被引：10

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

共 50 条

[1] EXTREME-POINTS OF FAMILIES OF ANALYTIC-FUNCTIONS SUBORDINATE TO CONVEX MAPPINGS
ABUMUHANNA, Y
MACGREGOR, TH
MATHEMATISCHE ZEITSCHRIFT, 1981, 176 (04) : 511 - 519
[2] The extreme points of several classes of analytic functions
Pen, ZG
ACTA MATHEMATICA SCIENTIA, 1999, 19 (04) : 457 - 462
[3] Bohr phenomenon for analytic functions subordinate to starlike or convex functions
Hamada, Hidetaka
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 499 (01)
[4] EXTREME-POINTS OF A CLASS OF SUBORDINATE FUNCTIONS
SHEILSMALL, T
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 91 (01) : 73 - 74
[5] EXTREME POINTS IN SPACES OF ANALYTIC FUNCTIONS
GAMELIN, TW
VOICHICK, M
CANADIAN JOURNAL OF MATHEMATICS, 1968, 20 (04): : 919 - &
[6] On logarithmic coefficients for classes of analytic functions associated with convex functions
Allu, Vasudevarao
Sharma, Navneet Lal
BULLETIN DES SCIENCES MATHEMATIQUES, 2024, 191
[7] CLASSES OF ANALYTIC FUNCTIONS RELATED TO A COMBINATION OF TWO CONVEX FUNCTIONS
Dziok, J.
Noor, K. I.
JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (02): : 413 - 427
[8] CONVEX HULLS AND EXTREME-POINTS OF SOME CLASSES OF MULTIVALENT-FUNCTIONS
KAPOOR, GP
MISHRA, AK
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1982, 87 (01) : 116 - 126
[9] ON EXTREME-POINTS OF FAMILIES OF ANALYTIC-FUNCTIONS WITH VALUES IN A CONVEX SET
GEVIRTZ, J
MATHEMATISCHE ZEITSCHRIFT, 1986, 193 (01) : 79 - 83
[10] Extreme points and support points of a class of analytic functions
Peng, ZG
Liu, LG
ACTA MATHEMATICA SCIENTIA, 2000, 20 (01) : 131 - 136

← 1 2 3 4 5 →