On General Integral Operator of Analytic Functions

Let be the integral operator defined by , where each of the functions and is, respectively, analytic functions and functions with positive real part defined in the open unit disk for all . The object of this paper is to obtain several univalence conditions for this integral operator. Our main res...

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Main Authors: Nasser Alkasbi, Maslina Darus
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/621810
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author Nasser Alkasbi
Maslina Darus
author_facet Nasser Alkasbi
Maslina Darus
author_sort Nasser Alkasbi
collection DOAJ
description Let be the integral operator defined by , where each of the functions and is, respectively, analytic functions and functions with positive real part defined in the open unit disk for all . The object of this paper is to obtain several univalence conditions for this integral operator. Our main results contain some interesting corollaries as special cases.
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series Abstract and Applied Analysis
spelling doaj-art-ebd2af6dd56e47cf9a739fe24c79097f2025-02-03T01:00:00ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/621810621810On General Integral Operator of Analytic FunctionsNasser Alkasbi0Maslina Darus1School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaLet be the integral operator defined by , where each of the functions and is, respectively, analytic functions and functions with positive real part defined in the open unit disk for all . The object of this paper is to obtain several univalence conditions for this integral operator. Our main results contain some interesting corollaries as special cases.http://dx.doi.org/10.1155/2013/621810
spellingShingle Nasser Alkasbi
Maslina Darus
On General Integral Operator of Analytic Functions
Abstract and Applied Analysis
title On General Integral Operator of Analytic Functions
title_full On General Integral Operator of Analytic Functions
title_fullStr On General Integral Operator of Analytic Functions
title_full_unstemmed On General Integral Operator of Analytic Functions
title_short On General Integral Operator of Analytic Functions
title_sort on general integral operator of analytic functions
url http://dx.doi.org/10.1155/2013/621810
work_keys_str_mv AT nasseralkasbi ongeneralintegraloperatorofanalyticfunctions
AT maslinadarus ongeneralintegraloperatorofanalyticfunctions