Close-to-convex functions with starlike powers (fungsi hampir cembung dengan kuasa bak bintang)
Let Kα be the set of functions f, analytic in z∈ D = {z : z < 1} satisfying ( ) ( ) Re 0 ( ) / z f z g z α ′ > , for g starlike in D and 0 ≤α ≤ 1. It is shown that such functions form a subset of the close-to-convex functions. Sharp bounds for the coefficients are gi...
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2015
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| Online Access: | http://journalarticle.ukm.my/9477/ http://journalarticle.ukm.my/9477/1/jqma-11-1-paper2.pdf |
| _version_ | 1848812097167687680 |
|---|---|
| author | D K Thomas, |
| author_facet | D K Thomas, |
| author_sort | D K Thomas, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | Let Kα be the set of functions f, analytic in z∈ D = {z : z < 1} satisfying
( )
( )
Re 0
( ) / z
f z
g z α
′
>
, for g starlike in D and 0 ≤α ≤ 1. It is shown that such functions form
a subset of the close-to-convex functions. Sharp bounds for the coefficients are given and the
Fekete-Szegö problem is solved.
Keywords: univalent functions; starlike functions; close-to-convex functions; coefficients;
Fekete-Szegö
ABSTRAK
Andaikan Kα set fungsi f, analisis dalam z∈ D = {z : z < 1} memenuhi
( )
( )
0
( ) / z
f z
Ny
g z α
′
>
, untuk g bak bintang dalam D dan 0 ≤α ≤ 1. Dapat ditunjukkan bahawa
fungsi tersebut merupakan subset bagi suatu set fungsi hampir cembung. Batas-batas terbaik
bagi pekali diberikan dan masalah Fekete-Szegö diselesaikan. |
| first_indexed | 2025-11-14T23:56:52Z |
| format | Article |
| id | oai:generic.eprints.org:9477 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:56:52Z |
| publishDate | 2015 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:94772016-12-14T06:50:03Z http://journalarticle.ukm.my/9477/ Close-to-convex functions with starlike powers (fungsi hampir cembung dengan kuasa bak bintang) D K Thomas, Let Kα be the set of functions f, analytic in z∈ D = {z : z < 1} satisfying ( ) ( ) Re 0 ( ) / z f z g z α ′ > , for g starlike in D and 0 ≤α ≤ 1. It is shown that such functions form a subset of the close-to-convex functions. Sharp bounds for the coefficients are given and the Fekete-Szegö problem is solved. Keywords: univalent functions; starlike functions; close-to-convex functions; coefficients; Fekete-Szegö ABSTRAK Andaikan Kα set fungsi f, analisis dalam z∈ D = {z : z < 1} memenuhi ( ) ( ) 0 ( ) / z f z Ny g z α ′ > , untuk g bak bintang dalam D dan 0 ≤α ≤ 1. Dapat ditunjukkan bahawa fungsi tersebut merupakan subset bagi suatu set fungsi hampir cembung. Batas-batas terbaik bagi pekali diberikan dan masalah Fekete-Szegö diselesaikan. Penerbit Universiti Kebangsaan Malaysia 2015-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/9477/1/jqma-11-1-paper2.pdf D K Thomas, (2015) Close-to-convex functions with starlike powers (fungsi hampir cembung dengan kuasa bak bintang). Journal of Quality Measurement and Analysis, 11 (1). pp. 11-17. ISSN 1823-5670 http://www.ukm.my/jqma/jqma11_1a.html |
| spellingShingle | D K Thomas, Close-to-convex functions with starlike powers (fungsi hampir cembung dengan kuasa bak bintang) |
| title | Close-to-convex functions with starlike powers
(fungsi hampir cembung dengan kuasa bak bintang) |
| title_full | Close-to-convex functions with starlike powers
(fungsi hampir cembung dengan kuasa bak bintang) |
| title_fullStr | Close-to-convex functions with starlike powers
(fungsi hampir cembung dengan kuasa bak bintang) |
| title_full_unstemmed | Close-to-convex functions with starlike powers
(fungsi hampir cembung dengan kuasa bak bintang) |
| title_short | Close-to-convex functions with starlike powers
(fungsi hampir cembung dengan kuasa bak bintang) |
| title_sort | close-to-convex functions with starlike powers
(fungsi hampir cembung dengan kuasa bak bintang) |
| url | http://journalarticle.ukm.my/9477/ http://journalarticle.ukm.my/9477/ http://journalarticle.ukm.my/9477/1/jqma-11-1-paper2.pdf |