Applications of the differential operator to a class of meromorphic univalent functions
In this paper, we define a new subclass of meromorphic close-to-convex univalent functions defined in the punctured open unit disc by using a differential operator. Some inclusion results, convolution properties and several other properties of this class are studied.
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Format: | Article |
Language: | English |
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SpringerOpen
2016-04-01
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Series: | Journal of the Egyptian Mathematical Society |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X15000280 |
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author | Khalida Inayat Noor Qazi Zahoor Ahmad Janusz Sokół |
author_facet | Khalida Inayat Noor Qazi Zahoor Ahmad Janusz Sokół |
author_sort | Khalida Inayat Noor |
collection | DOAJ |
description | In this paper, we define a new subclass of meromorphic close-to-convex univalent functions defined in the punctured open unit disc by using a differential operator. Some inclusion results, convolution properties and several other properties of this class are studied. |
first_indexed | 2024-12-17T15:00:06Z |
format | Article |
id | doaj.art-2940eed2081b454c96a4359634695683 |
institution | Directory Open Access Journal |
issn | 1110-256X |
language | English |
last_indexed | 2024-12-17T15:00:06Z |
publishDate | 2016-04-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of the Egyptian Mathematical Society |
spelling | doaj.art-2940eed2081b454c96a43596346956832022-12-21T21:43:56ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2016-04-0124218118610.1016/j.joems.2015.04.001Applications of the differential operator to a class of meromorphic univalent functionsKhalida Inayat Noor0Qazi Zahoor Ahmad1Janusz Sokół2Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanDepartment of Mathematics, Rzeszów University of Technology, Al. Powstańców Warszawy 12, 35-959 Rzeszów, PolandIn this paper, we define a new subclass of meromorphic close-to-convex univalent functions defined in the punctured open unit disc by using a differential operator. Some inclusion results, convolution properties and several other properties of this class are studied.http://www.sciencedirect.com/science/article/pii/S1110256X15000280Meromorphic functionsClose-to-convex functionsConvolutionDifferential operatorInclusion results |
spellingShingle | Khalida Inayat Noor Qazi Zahoor Ahmad Janusz Sokół Applications of the differential operator to a class of meromorphic univalent functions Journal of the Egyptian Mathematical Society Meromorphic functions Close-to-convex functions Convolution Differential operator Inclusion results |
title | Applications of the differential operator to a class of meromorphic univalent functions |
title_full | Applications of the differential operator to a class of meromorphic univalent functions |
title_fullStr | Applications of the differential operator to a class of meromorphic univalent functions |
title_full_unstemmed | Applications of the differential operator to a class of meromorphic univalent functions |
title_short | Applications of the differential operator to a class of meromorphic univalent functions |
title_sort | applications of the differential operator to a class of meromorphic univalent functions |
topic | Meromorphic functions Close-to-convex functions Convolution Differential operator Inclusion results |
url | http://www.sciencedirect.com/science/article/pii/S1110256X15000280 |
work_keys_str_mv | AT khalidainayatnoor applicationsofthedifferentialoperatortoaclassofmeromorphicunivalentfunctions AT qazizahoorahmad applicationsofthedifferentialoperatortoaclassofmeromorphicunivalentfunctions AT januszsokoł applicationsofthedifferentialoperatortoaclassofmeromorphicunivalentfunctions |