A class of integral operators preserving subordination and superordination for meromorphic functions

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摘要

The purpose of the present paper is to investigate several subordination- and superordination-preserving properties of a certain class of integral operators, which are defined on the space of meromorphic functions in the punctured open unit disk. The sandwich-type theorem for these integral operators is also presented. Moreover, we consider an application of the subordination and superordination theorem to the Gauss hypergeometric function.

论文关键词:Meromorphic functions,Differential subordination,Differential superordination,Meromorphic starlike functions,Meromorphic convex functions,Integral operators,Best subordinant,Best dominant,Gauss hypergeometric function

论文评审过程:Available online 11 April 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.03.084