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.

引用

页码：3615 / 3623

页数：9

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