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).
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页码：390 / 403
页数：14
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