Certain subclasses of multivalent analytic functions defined by multiplier transforms

被引：4

作者：

Wang, Zhi-Gang ^{[1
]}

Xu, Neng ^{[2
]}

Acu, Mugur ^{[3
]}

机构：

[1] Hengyang Normal Univ, Dept Math & Comp Sci, Hengyang 421008, Hunan, Peoples R China

[2] Changshu Inst Sci & Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China

[3] Lucian Blaga Univ Sibiu, Dept Math, Sibiu 550012, Romania

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 01期

关键词：

Analytic functions; Multivalent functions; Differential subordination; Superordination; Hadamard product (or convolution); Multiplier transforms; CONVOLUTION PROPERTIES;

D O I：

10.1016/j.amc.2010.01.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By making use of the principle of subordination between analytic functions and a family of multiplier transforms, we introduce and investigate some new subclasses of multivalent analytic functions. Such results as inclusion relationships, subordination and superordination properties, integral-preserving properties, argument estimates and convolution properties are proved. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved.

引用

页码：192 / 204

页数：13

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