A New Subclass of Harmonic Univalent Functions Associated with Dziok-Srivastava Operator
The purpose of the present paper is to study a certain subclass of harmonic univalent functions associated with Dziok-Srivastava operator. We obtain coefficient conditions, distortion bounds, and extreme points for the above class of harmonic univalent functions belonging to this class and discuss a...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/416875 |
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| author | A. L. Pathak K. K. Dixit R. Agarwal |
| author_facet | A. L. Pathak K. K. Dixit R. Agarwal |
| author_sort | A. L. Pathak |
| collection | DOAJ |
| description | The purpose of the present paper is to study a certain subclass of harmonic univalent functions associated with Dziok-Srivastava operator. We obtain coefficient
conditions, distortion bounds, and extreme points for the above class of harmonic univalent functions belonging to this class and discuss a class preserving integral operator. We also show that class studied in this paper is closed under convolution and convex combination. The results obtained for the class reduced to the corresponding results for several known classes in the literature are briefly indicated. |
| format | Article |
| id | doaj-art-5485d93d2ea64af3bd18ccfcf261b83a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5485d93d2ea64af3bd18ccfcf261b83a2025-02-03T00:59:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/416875416875A New Subclass of Harmonic Univalent Functions Associated with Dziok-Srivastava OperatorA. L. Pathak0K. K. Dixit1R. Agarwal2Department of Mathematics, Brahmanand College, The Mall, Kanpur 208004, IndiaDepartment of Mathematics, GIIT, Gwalior 474015, IndiaDepartment of Mathematics, Brahmanand College, The Mall, Kanpur 208004, IndiaThe purpose of the present paper is to study a certain subclass of harmonic univalent functions associated with Dziok-Srivastava operator. We obtain coefficient conditions, distortion bounds, and extreme points for the above class of harmonic univalent functions belonging to this class and discuss a class preserving integral operator. We also show that class studied in this paper is closed under convolution and convex combination. The results obtained for the class reduced to the corresponding results for several known classes in the literature are briefly indicated.http://dx.doi.org/10.1155/2012/416875 |
| spellingShingle | A. L. Pathak K. K. Dixit R. Agarwal A New Subclass of Harmonic Univalent Functions Associated with Dziok-Srivastava Operator International Journal of Mathematics and Mathematical Sciences |
| title | A New Subclass of Harmonic Univalent Functions Associated with Dziok-Srivastava Operator |
| title_full | A New Subclass of Harmonic Univalent Functions Associated with Dziok-Srivastava Operator |
| title_fullStr | A New Subclass of Harmonic Univalent Functions Associated with Dziok-Srivastava Operator |
| title_full_unstemmed | A New Subclass of Harmonic Univalent Functions Associated with Dziok-Srivastava Operator |
| title_short | A New Subclass of Harmonic Univalent Functions Associated with Dziok-Srivastava Operator |
| title_sort | new subclass of harmonic univalent functions associated with dziok srivastava operator |
| url | http://dx.doi.org/10.1155/2012/416875 |
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