Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators

被引：106

作者：

Cho, NE ^{[1
]}

Kwon, OS

Srivastava, HM

机构：

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

[2] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea

[3] Kyungsung Univ, Dept Math, Pusan 608736, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 292卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

analytic functions; univalent and multivalent functions; subordination between analytic functions; hadamard product (or convolution); linear operators; Carlson-Shaffer operator; fractional derivative operator; Choi-Saigo-Srivastava operator; strongly starlike functions; strongly convex functions; strongly close-to-convex functions; inclusion relationships and argument properties; Ruscheweyh derivative operator;

D O I：

10.1016/j.jmaa.2003.12.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By making use of a general linear operator I-p(gimel)(a, c), the authors introduce several new subclasses of multivalent functions and investigate various inclusion relationships and argument properties associated with these subclasses. Some interesting applications involving such and other families of linear operators are also considered. The results presented here include a number of known results as their special cases. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：470 / 483

页数：14

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