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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universiti Kebangsaan Malaysia
2011
|
| Online Access: | http://journalarticle.ukm.my/2405/ http://journalarticle.ukm.my/2405/1/16_MaMoun.pdf |
| _version_ | 1848809858381381632 |
|---|---|
| author | Ma`Moun Harayzeh Al-Abbadi, Maslina Darus, |
| author_facet | Ma`Moun Harayzeh Al-Abbadi, Maslina Darus, |
| author_sort | Ma`Moun Harayzeh Al-Abbadi, |
| building | UKM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T23:21:17Z |
| format | Article |
| id | oai:generic.eprints.org:2405 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:21:17Z |
| publishDate | 2011 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org: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/ |
| spellingShingle | Ma`Moun Harayzeh Al-Abbadi, Maslina Darus, The Fekete-Szegö theorem for a certain class of analytic functions |
| title | 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_short | The Fekete-Szegö theorem for a certain class of analytic functions |
| title_sort | fekete-szegö theorem for a certain class of analytic functions |
| url | http://journalarticle.ukm.my/2405/ http://journalarticle.ukm.my/2405/ http://journalarticle.ukm.my/2405/1/16_MaMoun.pdf |