General Univalence Criterion Associated with the nth Derivative

General Univalence Criterion Associated with the nth Derivative

For normalized analytic functions f(z) with f(z)≠0 for 0<|z|<1, we introduce a univalence criterion defined by sharp inequality associated with the nth derivative of z/f(z), where n∈{3,4,5,…}.

Bibliographic Details
Main Authors: Oqlah Al-Refai, Maslina Darus
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/307526
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spelling doaj-39124f9e6b544380b7438999a87d030f2020-11-24T23:24:00ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/307526307526General Univalence Criterion Associated with the nth DerivativeOqlah Al-Refai0Maslina Darus1Department of Mathematics, Faculty of Science and Information Technology, Zarqa University, Zarqa 13132, JordanSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, Selangor, 43600 Bangi, MalaysiaFor normalized analytic functions f(z) with f(z)≠0 for 0<|z|<1, we introduce a univalence criterion defined by sharp inequality associated with the nth derivative of z/f(z), where n∈{3,4,5,…}.http://dx.doi.org/10.1155/2012/307526
collection DOAJ
language English
format Article
sources DOAJ
author Oqlah Al-Refai
Maslina Darus
spellingShingle Oqlah Al-Refai
Maslina Darus
General Univalence Criterion Associated with the nth Derivative
Abstract and Applied Analysis
author_facet Oqlah Al-Refai
Maslina Darus
author_sort Oqlah Al-Refai
title General Univalence Criterion Associated with the nth Derivative
title_short General Univalence Criterion Associated with the nth Derivative
title_full General Univalence Criterion Associated with the nth Derivative
title_fullStr General Univalence Criterion Associated with the nth Derivative
title_full_unstemmed General Univalence Criterion Associated with the nth Derivative
title_sort general univalence criterion associated with the nth derivative
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description For normalized analytic functions f(z) with f(z)≠0 for 0<|z|<1, we introduce a univalence criterion defined by sharp inequality associated with the nth derivative of z/f(z), where n∈{3,4,5,…}.
url http://dx.doi.org/10.1155/2012/307526
work_keys_str_mv AT oqlahalrefai generalunivalencecriterionassociatedwiththenthderivative
AT maslinadarus generalunivalencecriterionassociatedwiththenthderivative
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