A General family of integral operators and associated subordination and superordination properties of some special analytic function classes

被引:19
作者
Cho, Nak Eun [2 ]
Bulboaca, Teodor [3 ]
Srivastava, H. M. [1 ]
机构
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada
[2] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea
[3] Univ Babes Bolyai, Fac Math & Comp Sci, R-400084 Cluj Napoca, Romania
关键词
Integral operators; Differential subordination; Differential superordination; Sandwich-type results; Univalent functions; Starlike and convex functions; Close-to-convex functions; Subordination (or Lowner) chains; PRESERVING SUBORDINATION; UNIVALENT-FUNCTIONS;
D O I
10.1016/j.amc.2012.08.075
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the present paper, we obtain the subordination-and superordination-preserving properties of a certain general family of nonlinear integral operators which are defined on the space of normalized analytic functions in the open unit disk. The sandwich-type results for these integral operators are also presented. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码:2278 / 2288
页数:11
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