Certain Properties of a Class of Close-to-Convex Functions Related to Conic Domains

We aim to de…fine a new class of close-to-convex functions which is related to conic domains. Many interesting properties such as sufficiency criteria, inclusion results, and integral preserving properties are investigated here. Some interesting consequences of our results are also observed.

Bibliographic Details
Main Authors: Wasim Ul-Haq, Shahid Mahmood
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/847287
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spelling doaj-7448ef3042984ea28cb369315a3cb4d02020-11-24T21:08:48ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/847287847287Certain Properties of a Class of Close-to-Convex Functions Related to Conic DomainsWasim Ul-Haq0Shahid Mahmood1Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, PakistanWe aim to de…fine a new class of close-to-convex functions which is related to conic domains. Many interesting properties such as sufficiency criteria, inclusion results, and integral preserving properties are investigated here. Some interesting consequences of our results are also observed.http://dx.doi.org/10.1155/2013/847287
collection DOAJ
language English
format Article
sources DOAJ
author Wasim Ul-Haq
Shahid Mahmood
spellingShingle Wasim Ul-Haq
Shahid Mahmood
Certain Properties of a Class of Close-to-Convex Functions Related to Conic Domains
Abstract and Applied Analysis
author_facet Wasim Ul-Haq
Shahid Mahmood
author_sort Wasim Ul-Haq
title Certain Properties of a Class of Close-to-Convex Functions Related to Conic Domains
title_short Certain Properties of a Class of Close-to-Convex Functions Related to Conic Domains
title_full Certain Properties of a Class of Close-to-Convex Functions Related to Conic Domains
title_fullStr Certain Properties of a Class of Close-to-Convex Functions Related to Conic Domains
title_full_unstemmed Certain Properties of a Class of Close-to-Convex Functions Related to Conic Domains
title_sort certain properties of a class of close-to-convex functions related to conic domains
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description We aim to de…fine a new class of close-to-convex functions which is related to conic domains. Many interesting properties such as sufficiency criteria, inclusion results, and integral preserving properties are investigated here. Some interesting consequences of our results are also observed.
url http://dx.doi.org/10.1155/2013/847287
work_keys_str_mv AT wasimulhaq certainpropertiesofaclassofclosetoconvexfunctionsrelatedtoconicdomains
AT shahidmahmood certainpropertiesofaclassofclosetoconvexfunctionsrelatedtoconicdomains
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