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
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
收藏
页码:792 / 800
页数:9
相关论文
共 50 条
  • [31] SECOND HANKEL DETERMINAT FOR CERTAIN ANALYTIC FUNCTIONS SATISFYING SUBORDINATE CONDITION
    Deniz, Erhan
    Budak, Levent
    MATHEMATICA SLOVACA, 2018, 68 (02) : 463 - 471
  • [32] Bohr's phenomenon for certain classes of analytic functions
    Arora, Vibhuti
    Vinayak, M.
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2025,
  • [33] New classes of certain analytic functions concerned with subordinations
    Breaz, Nicoleta
    Owa, Shigeyoshi
    CARPATHIAN JOURNAL OF MATHEMATICS, 2017, 33 (02) : 153 - 160
  • [34] EXTREME-POINTS IN SPACES OF CONTINUOUS-FUNCTIONS
    BOGACHEV, VI
    MENAJURADO, JF
    NAVARROPASCUAL, JC
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (04) : 1061 - 1067
  • [35] Solution of logarithmic coefficients conjectures for some classes of convex functions
    Adegani, Ebrahim Analouei
    Bulboaca, Teodor
    Mohammed, Nafya Hameed
    Zaprawa, Pawel
    MATHEMATICA SLOVACA, 2023, 73 (01) : 79 - 88
  • [36] Bohr Phenomenon for Certain Close-to-Convex Analytic Functions
    Allu, Vasudevarao
    Halder, Himadri
    COMPUTATIONAL METHODS AND FUNCTION THEORY, 2022, 22 (03) : 491 - 517
  • [37] Bohr Phenomenon for Certain Close-to-Convex Analytic Functions
    Vasudevarao Allu
    Himadri Halder
    Computational Methods and Function Theory, 2022, 22 : 491 - 517
  • [38] Classes of analytic functions related to the Dziok-Srivastava operator
    Aouf, M. K.
    Seoudy, T. M.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2011, 22 (06) : 423 - 430
  • [39] Majorization for certain classes of analytic functions using multiplier transformation
    Goswami, Pranay
    Sharma, Bhavna
    Bulboaca, Teodor
    APPLIED MATHEMATICS LETTERS, 2010, 23 (05) : 633 - 637
  • [40] CERTAIN INEQUALITIES FOR CLASSES OF ANALYTIC FUNCTIONS WITH VARYING ARGUMENT OF COEFFICIENTS
    Dziok, J.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2011, 14 (02): : 389 - 398