A Class of Integral Operators Preserving Subordination and Superordination for Analytic Functions. (16th August 2012)

• Record Type: Journal Article
• Authors: Al-Kharsani, H. A.; Al-Areefi, N. M.; Sokół, Janusz
• Other Names: Cui J. Academic Editor.; Wu J.-L. Academic Editor.; Zhu C. Academic Editor.
• Is Part Of: ISRN mathematical analysis. Volume 2012(2012)
• Publication Date: 2012-08-16
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Periodicals; 515
• DOI: 10.5402/2012/909632
• Languages: English
• ISSNs: 2090-4657

Abstract

Abstract : The purpose of the paper is to investigate several subordination- and superordination-preserving properties of a class of integral operators, which are defined on the space of analytic functions in the 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.