Properties for uniformly starlike and related functions under the Srivastava-Attiya operator

被引：8
|
作者：
Sun, Yong [1 ]
Kuang, Wei-Ping [1 ]
Wang, Zhi-Gang [2 ]
机构：
[1] Huaihua Univ, Dept Math, Huaihua 418008, Hunan, Peoples R China
[2] Anyang Normal Univ, Sch Math & Stat, Anyang 455002, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 07期
关键词：
Uniformly starlike functions; Convex functions; Close-to-convex functions; Quasi-convex functions; Inclusion relations; Coefficient inequalities; Srivastava-Attiya operator;
D O I：
10.1016/j.amc.2011.09.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we introduce and investigate classes of analytic functions involving the Srivastava-Attiya operator. Basic properties for beta-uniformly starlike functions of order gamma are studied, such as inclusion relations, sufficient conditions, coefficient inequalities and distortion inequalities. The results are also extended to beta-uniformly convex, close-to-convex, and quasi-convex functions. Relevant connections of the results presented here with those obtained in earlier works are also pointed out. (C) 2011 Elsevier Inc. All rights reserved.
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页码：3615 / 3623
页数：9
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