Some geometric properties of certain meromorphically multivalent functions associated with the first-order differential subordination

被引：1
|
作者：
Yang, Ying [1 ]
Liu, Jin-Lin [2 ]
机构：
[1] Maanshan Teachers Coll, Dept Math, Maanshan 243000, Peoples R China
[2] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 04期
基金：
中国国家自然科学基金;
关键词：
analytic function; meromorphically multivalent function; differential subordination; coefficient estimate; sharp bound; INEQUALITIES; SUBCLASS;
D O I：
10.3934/math.2021248
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new subclass G(n) (A, B, lambda) of meromorphically multivalent functions defined by the first-order differential subordination is introduced. Some geometric properties of this new subclass are investigated. The sharp upper bound on vertical bar z vertical bar = r < 1 for the functional Re{(1 - lambda)z(p) f(z) - lambda/pz(p+1) f'(z)} over the class G(n)(A, B, 0) is obtained.
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页码：4197 / 4210
页数：14
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