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

页码：390 / 403

页数：14

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