General Integral Operator of Analytic Functions Involving Functions with Positive Real Part

Let be the integral operator defined by where each of the functions and are, 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 Author: B. A. Frasin
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2013/260127
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author B. A. Frasin
author_facet B. A. Frasin
author_sort B. A. Frasin
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description Let be the integral operator defined by where each of the functions and are, 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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institution Kabale University
issn 2314-4629
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publishDate 2013-01-01
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series Journal of Mathematics
spelling doaj-art-dcf6708e39794c339e690bf54a3e63ea2025-08-20T03:26:30ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/260127260127General Integral Operator of Analytic Functions Involving Functions with Positive Real PartB. A. Frasin0Department of Mathematics, Faculty of Science, Al al-Bayt University, P.O. Box 130095, Mafraq, JordanLet be the integral operator defined by where each of the functions and are, 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/10.1155/2013/260127
spellingShingle B. A. Frasin
General Integral Operator of Analytic Functions Involving Functions with Positive Real Part
Journal of Mathematics
title General Integral Operator of Analytic Functions Involving Functions with Positive Real Part
title_full General Integral Operator of Analytic Functions Involving Functions with Positive Real Part
title_fullStr General Integral Operator of Analytic Functions Involving Functions with Positive Real Part
title_full_unstemmed General Integral Operator of Analytic Functions Involving Functions with Positive Real Part
title_short General Integral Operator of Analytic Functions Involving Functions with Positive Real Part
title_sort general integral operator of analytic functions involving functions with positive real part
url http://dx.doi.org/10.1155/2013/260127
work_keys_str_mv AT bafrasin generalintegraloperatorofanalyticfunctionsinvolvingfunctionswithpositiverealpart