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

共 50 条

[31] Classes of multivalent analytic and meromorphic functions with two fixed points
Dziok, Jacek
FIXED POINT THEORY AND APPLICATIONS, 2013,
[32] Starlikeness of Analytic Functions with Subordinate Ratios
Ali, Rosihan M.
Ravichandran, Vaithiyanathan
Sharma, Kanika
JOURNAL OF MATHEMATICS, 2021, 2021
[33] CONVEX HULL AND EXTREME POINTS OF 2 FAMILIES OF UNIVALENT FUNCTIONS
NASR, MA
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES SECTION A, 1976, 83 (04): : 138 - 144
[34] CLOSE-TO-CONVEX FUNCTIONS AND THEIR EXTREME POINTS IN HORNICH SPACE
TRIMBLE, SY
WRIGHT, DJ
MONATSHEFTE FUR MATHEMATIK, 1978, 85 (03): : 235 - 244
[35] CONVEX HULLS AND EXTREME POINTS OF SOME FAMILIES OF UNIVALENT FUNCTIONS
HALLENBECK, DJ
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 192 : 285 - 292
[36] EXTREME-POINTS OF SOME CLASSES OF HOLOMORPHIC-FUNCTIONS
FORELLI, F
DUKE MATHEMATICAL JOURNAL, 1979, 46 (04) : 763 - 772
[37] EXTREME POINTS OF BOUNDED ANALYTIC FUNCTIONS ON INFINITELY CONNECTED REGIONS
VOICHICK, M
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 17 (06) : 1366 - &
[38] Some Reciprocal Classes of Close-to-Convex and Quasi-Convex Analytic Functions
Mahmood, Shahid
Sokol, Janusz
Srivastava, Hari Mohan
Malik, Sarfraz Nawaz
MATHEMATICS, 2019, 7 (04)
[39] Refined Bohr inequalities for certain classes of functions: analytic, univalent, and convex
Ahammed, Sabir
Ahamed, Molla Basir
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2024, 67 (01): : 9 - 25
[40] CONVEX HULLS AND EXTREME-POINTS OF CLASSES OF MULTIVALENT-FUNCTIONS DEFINED BY GAP POWER-SERIES
MISHRA, AK
MAHAPATRA, CK
PRADHAN, M
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1984, 15 (08): : 889 - 898

← 1 2 3 4 5 →