Properties and characteristics of certain subclasses of starlike functions of order β

被引：16

作者：

Liu, Ming-Sheng ^{[2
]}

Zhu, Yu-Can ^{[3
]}

Srivastava, H. M. ^{[1
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada

[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

[3] Fuzhou Univ, Dept Math, Fuzhou 350002, Fujian, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2008年 / 48卷 / 3-4期

基金：

加拿大自然科学与工程研究理事会;

关键词：

analytic functions; starlike functions; inclusion relations; Hadamard products; coefficient estimates; distortion theorems; covering theorems; Srivastava-Saigo Owa fractional integral operator; Gauss hypergeometric function;

D O I：

10.1016/j.mcm.2006.09.026

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The authors introduce and investigate the various properties and characteristics of two subclasses H-n(alpha, beta) and H-n(+) (alpha, beta) of starlike functions of order beta. In particular, several inclusion relations, Hadamard products, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes. Furthermore, some interesting distortion theorems for the Srivastava-Saigo-Owa fractional integral operator are obtained. Some of the results, presented in this paper, generalize and extend the corresponding results of earlier authors. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：402 / 419

页数：18

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