Alpha Convex Functions Associated with Conic Domains

Alpha Convex Functions Associated with Conic Domains

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In this paper we define a new class k −Umα [A,B] of Janowski type k−uniformly alpha convex functions. We use the method of differential subordinations theory to obtain some new results like sufficient condition, inclusion relations, coefficient estimate and covering properties. The results presented...

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Main Authors: Khalida Inayat Noor, Nasir Khan, Krzysztof Piejko
Format: Article
Language:English
Published: Etamaths Publishing 2016-06-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/738
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spelling doaj-ab1e551a062345ec835dc1bc5a6fb49a2020-11-25T01:35:07ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392016-06-011127080177Alpha Convex Functions Associated with Conic DomainsKhalida Inayat NoorNasir KhanKrzysztof PiejkoIn this paper we define a new class k −Umα [A,B] of Janowski type k−uniformly alpha convex functions. We use the method of differential subordinations theory to obtain some new results like sufficient condition, inclusion relations, coefficient estimate and covering properties. The results presented here include a number of well-known results as their special cases.http://www.etamaths.com/index.php/ijaa/article/view/738
collection DOAJ
language English
format Article
sources DOAJ
author Khalida Inayat Noor
Nasir Khan
Krzysztof Piejko
spellingShingle Khalida Inayat Noor
Nasir Khan
Krzysztof Piejko
Alpha Convex Functions Associated with Conic Domains
International Journal of Analysis and Applications
author_facet Khalida Inayat Noor
Nasir Khan
Krzysztof Piejko
author_sort Khalida Inayat Noor
title Alpha Convex Functions Associated with Conic Domains
title_short Alpha Convex Functions Associated with Conic Domains
title_full Alpha Convex Functions Associated with Conic Domains
title_fullStr Alpha Convex Functions Associated with Conic Domains
title_full_unstemmed Alpha Convex Functions Associated with Conic Domains
title_sort alpha convex functions associated with conic domains
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2016-06-01
description In this paper we define a new class k −Umα [A,B] of Janowski type k−uniformly alpha convex functions. We use the method of differential subordinations theory to obtain some new results like sufficient condition, inclusion relations, coefficient estimate and covering properties. The results presented here include a number of well-known results as their special cases.
url http://www.etamaths.com/index.php/ijaa/article/view/738
work_keys_str_mv AT khalidainayatnoor alphaconvexfunctionsassociatedwithconicdomains
AT nasirkhan alphaconvexfunctionsassociatedwithconicdomains
AT krzysztofpiejko alphaconvexfunctionsassociatedwithconicdomains
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