Geometric Properties of a New Integral Operator

We obtain sufficient conditions for the univalence, starlikeness, and convexity of a new integral operator defined on the space of normalized analytic functions in the open unit disk. Some subordination results for the new integral operator are also given. Several corollaries follow as special cases...

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Main Authors: Roberta Bucur, Loriana Andrei, Daniel Breaz
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/430197
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author Roberta Bucur
Loriana Andrei
Daniel Breaz
author_facet Roberta Bucur
Loriana Andrei
Daniel Breaz
author_sort Roberta Bucur
collection DOAJ
description We obtain sufficient conditions for the univalence, starlikeness, and convexity of a new integral operator defined on the space of normalized analytic functions in the open unit disk. Some subordination results for the new integral operator are also given. Several corollaries follow as special cases.
format Article
id doaj-art-c140f6b3d3f24b1aae2c5870bf998a9f
institution OA Journals
issn 1085-3375
1687-0409
language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-c140f6b3d3f24b1aae2c5870bf998a9f2025-08-20T02:19:23ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/430197430197Geometric Properties of a New Integral OperatorRoberta Bucur0Loriana Andrei1Daniel Breaz2Department of Mathematics, University of Piteşti, Târgul din Vale Street, No. 1, 110040 Pitesti, RomaniaDepartment of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, RomaniaDepartment of Mathematics, “1 Decembrie 1918” University of Alba Iulia, N. Iorga Street, No. 11-13, 510009 Alba Iulia, RomaniaWe obtain sufficient conditions for the univalence, starlikeness, and convexity of a new integral operator defined on the space of normalized analytic functions in the open unit disk. Some subordination results for the new integral operator are also given. Several corollaries follow as special cases.http://dx.doi.org/10.1155/2015/430197
spellingShingle Roberta Bucur
Loriana Andrei
Daniel Breaz
Geometric Properties of a New Integral Operator
Abstract and Applied Analysis
title Geometric Properties of a New Integral Operator
title_full Geometric Properties of a New Integral Operator
title_fullStr Geometric Properties of a New Integral Operator
title_full_unstemmed Geometric Properties of a New Integral Operator
title_short Geometric Properties of a New Integral Operator
title_sort geometric properties of a new integral operator
url http://dx.doi.org/10.1155/2015/430197
work_keys_str_mv AT robertabucur geometricpropertiesofanewintegraloperator
AT lorianaandrei geometricpropertiesofanewintegraloperator
AT danielbreaz geometricpropertiesofanewintegraloperator