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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Language: | English |
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Wiley
2013-01-01
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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. |
format | Article |
id | doaj-art-0fb23f36591f459998e1848c1f1dfde2 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
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 |