Subordination properties for a general class of integral operators involving meromorphically multivalent functions

被引：3

作者：

Cho, Nak Eun ^{[1
]}

Srivastava, Rekha ^{[2
]}

机构：

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

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

基金：

新加坡国家研究基金会;

关键词：

differential subordination; differential superordination; meromorphic functions; integral operators; convex functions; close-to-convex functions; subordination (or Lowner) chain; SUPERORDINATION; FAMILY;

D O I：

10.1186/1687-1847-2013-93

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of the present paper is to investigate some subordination- and superordination-preserving properties of certain nonlinear integral operators defined on the space of meromorphically p-valent functions in the punctured open unit disk. The sandwich-type theorems associated with these integral operators are established. Relevant connections of the various results presented here with those involving relatively simpler nonlinear integral operators are also indicated.

引用

页数：15

共 24 条

[1]

[Anonymous], 1989, UNIVALENT FUNCTIONS

[2]

Bajpai S.K., 1977, REV ROUMAINE MATH PU, V22, P295

[3]

Bhoosnurmath S.S., 1993, Ganita, V44, P19

[4] A class of superordination-preserving integral operators [J].