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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Penerbit Universiti Kebangsaan Malaysia
2014
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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 |
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| 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 |
| _version_ |
1643737427498500096 |