The Fekete-Szegö theorem for a certain class of analytic functions
In this paper, we discuss a well known class studied by many authors including Ramesha et al. and Janteng, few to mention. Next, we extend the class to a wider class of functions f denoted by , which are normalized and univalent, in the open unit disk D={z:|z|<1} satisfying the condition: where...
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Universiti Kebangsaan Malaysia
2011
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| Online Access: | http://journalarticle.ukm.my/2405/ http://journalarticle.ukm.my/2405/ http://journalarticle.ukm.my/2405/1/16_MaMoun.pdf |
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ukm-24052016-12-14T06:31:31Z http://journalarticle.ukm.my/2405/ The Fekete-Szegö theorem for a certain class of analytic functions Ma`Moun Harayzeh Al-Abbadi, Maslina Darus, In this paper, we discuss a well known class studied by many authors including Ramesha et al. and Janteng, few to mention. Next, we extend the class to a wider class of functions f denoted by , which are normalized and univalent, in the open unit disk D={z:|z|<1} satisfying the condition: where g ∈ S* (b),g(z) ≠ 0 is a normalized starlike function of order b, for 0 ≤ b < 1. For f ∈ we shall obtain sharp upper bounds for the Fekete-Szegö functional |a3 – μ | when μ is real. Universiti Kebangsaan Malaysia 2011-04 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/2405/1/16_MaMoun.pdf Ma`Moun Harayzeh Al-Abbadi, and Maslina Darus, (2011) The Fekete-Szegö theorem for a certain class of analytic functions. Sains Malaysiana, 40 (4). pp. 385-389. ISSN 0126-6039 http://www.ukm.my/jsm/ |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
Universiti Kebangasaan Malaysia |
| building |
UKM Institutional Repository |
| collection |
Online Access |
| language |
English |
| description |
In this paper, we discuss a well known class studied by many authors including Ramesha et al. and Janteng, few to mention. Next, we extend the class to a wider class of functions f denoted by , which are normalized and univalent, in the open unit disk D={z:|z|<1} satisfying the condition:
where g ∈ S* (b),g(z) ≠ 0 is a normalized starlike function of order b, for 0 ≤ b < 1. For f ∈ we shall obtain sharp upper bounds for the Fekete-Szegö functional |a3 – μ | when μ is real. |
| format |
Article |
| author |
Ma`Moun Harayzeh Al-Abbadi, Maslina Darus, |
| spellingShingle |
Ma`Moun Harayzeh Al-Abbadi, Maslina Darus, The Fekete-Szegö theorem for a certain class of analytic functions |
| author_facet |
Ma`Moun Harayzeh Al-Abbadi, Maslina Darus, |
| author_sort |
Ma`Moun Harayzeh Al-Abbadi, |
| title |
The Fekete-Szegö theorem for a certain class of analytic functions |
| title_short |
The Fekete-Szegö theorem for a certain class of analytic functions |
| title_full |
The Fekete-Szegö theorem for a certain class of analytic functions |
| title_fullStr |
The Fekete-Szegö theorem for a certain class of analytic functions |
| title_full_unstemmed |
The Fekete-Szegö theorem for a certain class of analytic functions |
| title_sort |
fekete-szegö theorem for a certain class of analytic functions |
| publisher |
Universiti Kebangsaan Malaysia |
| publishDate |
2011 |
| url |
http://journalarticle.ukm.my/2405/ http://journalarticle.ukm.my/2405/ http://journalarticle.ukm.my/2405/1/16_MaMoun.pdf |
| first_indexed |
2023-09-18T19:36:00Z |
| last_indexed |
2023-09-18T19:36:00Z |
| _version_ |
1777405275225980928 |