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.

Bibliographic Details
Main Authors:	Khalida Inayat Noor, Qazi Zahoor Ahmad, Janusz Sokół
Format:	Article
Language:	English
Published:	SpringerOpen 2016-04-01
Series:	Journal of the Egyptian Mathematical Society
Subjects:	Meromorphic functions Close-to-convex functions Convolution Differential operator Inclusion results
Online Access:	http://www.sciencedirect.com/science/article/pii/S1110256X15000280

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spelling	doaj-2940eed2081b454c96a43596346956832020-11-24T21:50:06ZengSpringerOpenJournal 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Khalida Inayat Noor Qazi Zahoor Ahmad Janusz Sokół
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
author_facet	Khalida Inayat Noor Qazi Zahoor Ahmad Janusz Sokół
author_sort	Khalida Inayat Noor
title	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_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_sort	applications of the differential operator to a class of meromorphic univalent functions
publisher	SpringerOpen
series	Journal of the Egyptian Mathematical Society
issn	1110-256X
publishDate	2016-04-01
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.
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
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Applications of the differential operator to a class of meromorphic univalent functions

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