On fekete-szegö problems for a subclass of analytic functions

The aim of this paper is to determine the Fekete-Szegö inequalities for a normalised analytic function f (z) defined on the open unit disc for which z(Dλ1,λ2 ,δ m,b f (z))′ / (Dλ1,λ2 ,δ m,b f (z)),δ ,m,b ∈N0 ,λ2 ≥ λ1 ≥ 0 lies in a region starlike with respect to 1 and it is symmetric with respe...

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Main Authors: Entisar El-Yagubi,, Maslina Darus,
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2014
Online Access:http://journalarticle.ukm.my/8291/1/jqma-10-1-paper2.pdf
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spelling my-ukm.journal.82912016-12-14T06:46:48Z http://journalarticle.ukm.my/8291/ On fekete-szegö problems for a subclass of analytic functions Entisar El-Yagubi, Maslina Darus, The aim of this paper is to determine the Fekete-Szegö inequalities for a normalised analytic function f (z) defined on the open unit disc for which z(Dλ1,λ2 ,δ m,b f (z))′ / (Dλ1,λ2 ,δ m,b f (z)),δ ,m,b ∈N0 ,λ2 ≥ λ1 ≥ 0 lies in a region starlike with respect to 1 and it is symmetric with respect to the real axis by using the operator Dλ1,λ2 ,δ m,b f (z) given recently by the authors. As a special case of this result, Fekete-Szegö inequality for a class of functions defined by fractional derivatives is also obtained. Penerbit Universiti Kebangsaan Malaysia 2014-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/8291/1/jqma-10-1-paper2.pdf Entisar El-Yagubi, and Maslina Darus, (2014) On fekete-szegö problems for a subclass of analytic functions. Journal of Quality Measurement and Analysis, 10 (1). pp. 17-26. ISSN 1823-5670 http://www.ukm.my/jqma/index.html
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
description The aim of this paper is to determine the Fekete-Szegö inequalities for a normalised analytic function f (z) defined on the open unit disc for which z(Dλ1,λ2 ,δ m,b f (z))′ / (Dλ1,λ2 ,δ m,b f (z)),δ ,m,b ∈N0 ,λ2 ≥ λ1 ≥ 0 lies in a region starlike with respect to 1 and it is symmetric with respect to the real axis by using the operator Dλ1,λ2 ,δ m,b f (z) given recently by the authors. As a special case of this result, Fekete-Szegö inequality for a class of functions defined by fractional derivatives is also obtained.
format Article
author Entisar El-Yagubi,
Maslina Darus,
spellingShingle Entisar El-Yagubi,
Maslina Darus,
On fekete-szegö problems for a subclass of analytic functions
author_facet Entisar El-Yagubi,
Maslina Darus,
author_sort Entisar El-Yagubi,
title On fekete-szegö problems for a subclass of analytic functions
title_short On fekete-szegö problems for a subclass of analytic functions
title_full On fekete-szegö problems for a subclass of analytic functions
title_fullStr On fekete-szegö problems for a subclass of analytic functions
title_full_unstemmed On fekete-szegö problems for a subclass of analytic functions
title_sort on fekete-szegö problems for a subclass of analytic functions
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2014
url http://journalarticle.ukm.my/8291/1/jqma-10-1-paper2.pdf
http://journalarticle.ukm.my/8291/
http://www.ukm.my/jqma/index.html
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score 13.160551