Geometric properties of a certain class of multivalent analytic functions associated with the second-order differential subordination

被引：1
|
作者：
Tao, Yu-Qin [1 ]
Xu, Yi-Hui [2 ]
Srivastava, Rekha [3 ]
Liu, Jin-Lin [4 ]
机构：
[1] Maanshan Teachers Coll, Dept Math, Maanshan 243000, Peoples R China
[2] Suqian Coll, Dept Math, Suqian 223800, Peoples R China
[3] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada
[4] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 01期
基金：
中国国家自然科学基金;
关键词：
analytic functions; univalent functions; second-order differential subordination; sharp bound; Schwarz lemma; Caratheodory inequality; INEQUALITIES; SUBCLASS;
D O I：
10.3934/math.2021024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate some geometric properties of the class Q(n)(A, B, alpha) which is defined by the second-order differential subordination and find the sharp lower bound on vertical bar z vertical bar = r < 1 for the following functional: Re{(1 - alpha)z(1-p)f'(z) + alpha/p-1z(2-p) f '' (z)} over the class Q(n)(A, B, 0).
引用
收藏
页码：390 / 403
页数：14
相关论文
共 50 条
  • [31] Properties of Certain Multivalent Analytic Functions Associated with the Lemniscate of Bernoulli
    Liu, Likai
    Liu, Jin-Lin
    AXIOMS, 2021, 10 (03)
  • [32] Differential subordination of certain class of starlike functions
    Verma, N.
    Kumar, S. Sivaprasad
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024,
  • [33] INTEGRAL PROPERTIES OF CERTAIN CLASSES OF MULTIVALENT ANALYTIC FUNCTIONS WITH COMPLEX ORDER
    Salim, Tariq O.
    TAMKANG JOURNAL OF MATHEMATICS, 2012, 43 (02): : 251 - 257
  • [34] CERTAIN GEOMETRIC PROPERTIES OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE CONVOLUTIONS
    Sharma, Poonam
    Bajpai, Aditya K.
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2018, 42 (02): : 161 - 175
  • [35] Some applications of differential subordination on certain class of analytic functions defined by integral operator
    El-Ashwah, R. M.
    Aouf, M. K.
    KUWAIT JOURNAL OF SCIENCE, 2014, 41 (02) : 85 - 93
  • [36] Properties of a class of multivalent analytic functions
    Patel, J
    Sahoo, P
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 46 (10-11) : 1633 - 1644
  • [37] Subordination Properties for Certain Subclasses of Analytic Functions Defined by A General Differential Operator
    Deniz, Erhan
    Ozkan, Yucel
    INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016, 2016, 1726
  • [38] Coefficient estimates and subordination properties for certain classes of analytic functions of reciprocal order
    Al-Hawary, Tariq
    Frasin, Basem Aref
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2018, 63 (02): : 203 - 212
  • [39] Properties of a Certain Class of Multivalent Functions
    Aouf, Mohamed K.
    Mostafa, Adela O.
    Bulboaca, Teodor
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
  • [40] SOME GEOMETRIC PROPERTIES OF MULTIVALENT ANALYTIC FUNCTIONS ASSOCIATED WITH THE LEMNISCATE OF BERNOULLI
    Yang, Lian-Bo
    Yuan, Yuan
    Liu, Jin-Lin
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (02): : 790 - 797
12345