A Class of Integral Operators Preserving Subordination and Superordination for Analytic Functions | Zendy

H. A. Al-Kharsani | Zendy; N. M. Al-Areefi | Zendy; Janusz Sokół | Zendy

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A Class of Integral Operators Preserving Subordination and Superordination for Analytic Functions

Author(s) -

H. A. Al-Kharsani,

N. M. Al-Areefi,

Janusz Sokół

Publication year - 2012

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2012/909632

Subject(s) - subordination (linguistics) , mathematics , unit disk , hypergeometric function , class (philosophy) , analytic function , pure mathematics , univalent function , squeeze theorem , gauss , mathematical analysis , computer science , physics , fixed point theorem , philosophy , linguistics , brouwer fixed point theorem , danskin's theorem , quantum mechanics , artificial intelligence

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.

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