New Subclasses of Multivalent Analytic Functions Associated with a Linear Operator

Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we consider two subclasses and of multivalent analytic functions with negative coefficients in the open unit disk. Some modified Hadamard products, integral transforms, and the partial sums of...

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Main Authors: Ding-Gong Yang, Jin-Lin Liu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/849747
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author Ding-Gong Yang
Jin-Lin Liu
author_facet Ding-Gong Yang
Jin-Lin Liu
author_sort Ding-Gong Yang
collection DOAJ
description Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we consider two subclasses and of multivalent analytic functions with negative coefficients in the open unit disk. Some modified Hadamard products, integral transforms, and the partial sums of functions belonging to these classes are studied.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-0fb23f36591f459998e1848c1f1dfde22025-02-03T01:27:37ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/849747849747New Subclasses of Multivalent Analytic Functions Associated with a Linear OperatorDing-Gong Yang0Jin-Lin Liu1School of Mathematical Sciences, Soochow University, Suzhou, Jiangsu 215006, ChinaDepartment of Mathematics, Yangzhou University, Yangzhou, Jiangsu 225002, ChinaMaking use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we consider two subclasses and of multivalent analytic functions with negative coefficients in the open unit disk. Some modified Hadamard products, integral transforms, and the partial sums of functions belonging to these classes are studied.http://dx.doi.org/10.1155/2013/849747
spellingShingle Ding-Gong Yang
Jin-Lin Liu
New Subclasses of Multivalent Analytic Functions Associated with a Linear Operator
Abstract and Applied Analysis
title New Subclasses of Multivalent Analytic Functions Associated with a Linear Operator
title_full New Subclasses of Multivalent Analytic Functions Associated with a Linear Operator
title_fullStr New Subclasses of Multivalent Analytic Functions Associated with a Linear Operator
title_full_unstemmed New Subclasses of Multivalent Analytic Functions Associated with a Linear Operator
title_short New Subclasses of Multivalent Analytic Functions Associated with a Linear Operator
title_sort new subclasses of multivalent analytic functions associated with a linear operator
url http://dx.doi.org/10.1155/2013/849747
work_keys_str_mv AT dinggongyang newsubclassesofmultivalentanalyticfunctionsassociatedwithalinearoperator
AT jinlinliu newsubclassesofmultivalentanalyticfunctionsassociatedwithalinearoperator