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:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X15000280
_version_ 1818700133230968832
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