On Certain Classes of Meromorphic Functions Associated with Conic Domains

Making use of the concept of k-uniformly bounded boundary rotation and Ruscheweyh differential operator, we introduce some new classes of meromorphic functions in the punctured unit disc. Convolution technique and principle of subordination are used to investigate these classes. Inclusion results, g...

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Main Authors: Khalida Inayat Noor, Fiaz Amber
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/801601
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author Khalida Inayat Noor
Fiaz Amber
author_facet Khalida Inayat Noor
Fiaz Amber
author_sort Khalida Inayat Noor
collection DOAJ
description Making use of the concept of k-uniformly bounded boundary rotation and Ruscheweyh differential operator, we introduce some new classes of meromorphic functions in the punctured unit disc. Convolution technique and principle of subordination are used to investigate these classes. Inclusion results, generalized Bernardi integral operator, and rate of growth of coefficients are studied. Some interesting consequences are also derived from the main results.
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publishDate 2012-01-01
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series Abstract and Applied Analysis
spelling doaj-art-33496153d5da43c68aa83a7f2ba96a0c2025-08-20T02:24:21ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/801601801601On Certain Classes of Meromorphic Functions Associated with Conic DomainsKhalida Inayat Noor0Fiaz Amber1Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanMaking use of the concept of k-uniformly bounded boundary rotation and Ruscheweyh differential operator, we introduce some new classes of meromorphic functions in the punctured unit disc. Convolution technique and principle of subordination are used to investigate these classes. Inclusion results, generalized Bernardi integral operator, and rate of growth of coefficients are studied. Some interesting consequences are also derived from the main results.http://dx.doi.org/10.1155/2012/801601
spellingShingle Khalida Inayat Noor
Fiaz Amber
On Certain Classes of Meromorphic Functions Associated with Conic Domains
Abstract and Applied Analysis
title On Certain Classes of Meromorphic Functions Associated with Conic Domains
title_full On Certain Classes of Meromorphic Functions Associated with Conic Domains
title_fullStr On Certain Classes of Meromorphic Functions Associated with Conic Domains
title_full_unstemmed On Certain Classes of Meromorphic Functions Associated with Conic Domains
title_short On Certain Classes of Meromorphic Functions Associated with Conic Domains
title_sort on certain classes of meromorphic functions associated with conic domains
url http://dx.doi.org/10.1155/2012/801601
work_keys_str_mv AT khalidainayatnoor oncertainclassesofmeromorphicfunctionsassociatedwithconicdomains
AT fiazamber oncertainclassesofmeromorphicfunctionsassociatedwithconicdomains