A Note on the Class of Functions with Bounded Turning

A Note on the Class of Functions with Bounded Turning

We consider subclasses of functions with bounded turning for normalized analytic functions in the unit disk. The geometric representation is introduced, some subordination relations are suggested, and the upper bound of the pre-Schwarzian norm for these functions is computed. Moreover, by employing...

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Main Authors: Rabha W. Ibrahim, Adem Kılıçman
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/820696
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spelling doaj-ecfe1834bdb34bba91b04a1fd09216902020-11-24T22:24:08ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/820696820696A Note on the Class of Functions with Bounded TurningRabha W. Ibrahim0Adem Kılıçman1Institute of Mathematical Sciences, University Malaya, 50603 Kuala Lumpur, MalaysiaDepartment of Mathematics, University of Putra Malaysia, 43400 Serdang, Selangor, MalaysiaWe consider subclasses of functions with bounded turning for normalized analytic functions in the unit disk. The geometric representation is introduced, some subordination relations are suggested, and the upper bound of the pre-Schwarzian norm for these functions is computed. Moreover, by employing Jack's lemma, we obtain a convex class in the class of functions of bounded turning and relations with other classes are posed.http://dx.doi.org/10.1155/2012/820696
collection DOAJ
language English
format Article
sources DOAJ
author Rabha W. Ibrahim
Adem Kılıçman
spellingShingle Rabha W. Ibrahim
Adem Kılıçman
A Note on the Class of Functions with Bounded Turning
Abstract and Applied Analysis
author_facet Rabha W. Ibrahim
Adem Kılıçman
author_sort Rabha W. Ibrahim
title A Note on the Class of Functions with Bounded Turning
title_short A Note on the Class of Functions with Bounded Turning
title_full A Note on the Class of Functions with Bounded Turning
title_fullStr A Note on the Class of Functions with Bounded Turning
title_full_unstemmed A Note on the Class of Functions with Bounded Turning
title_sort note on the class of functions with bounded turning
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description We consider subclasses of functions with bounded turning for normalized analytic functions in the unit disk. The geometric representation is introduced, some subordination relations are suggested, and the upper bound of the pre-Schwarzian norm for these functions is computed. Moreover, by employing Jack's lemma, we obtain a convex class in the class of functions of bounded turning and relations with other classes are posed.
url http://dx.doi.org/10.1155/2012/820696
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AT ademkılıcman anoteontheclassoffunctionswithboundedturning
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