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

Advances in Difference Equations

Nak Eun Cho¹  Rekha Srivastava² 

[1] Department of Applied Mathematics, Pukyong National University, Busan, Korea;Department of Mathematics and Statistics, University of Victoria, Victoria, Canada

关键词: differential subordination;    differential superordination;    meromorphic functions;    integral operators;    convex functions;    close-to-convex functions;    subordination (or Löwner) chain;   

DOI  :  10.1186/1687-1847-2013-93

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:30C45, 30C80.

【 授权许可】

CC BY