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...
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2015
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| Online Access: | http://journalarticle.ukm.my/9477/ http://journalarticle.ukm.my/9477/ http://journalarticle.ukm.my/9477/1/jqma-11-1-paper2.pdf |
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ukm-9477 |
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eprints |
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ukm-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 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
Universiti Kebangasaan Malaysia |
| building |
UKM Institutional Repository |
| collection |
Online Access |
| language |
English |
| 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. |
| format |
Article |
| author |
D K Thomas, |
| spellingShingle |
D K Thomas, Close-to-convex functions with starlike powers (fungsi hampir cembung dengan kuasa bak bintang) |
| author_facet |
D K Thomas, |
| author_sort |
D K Thomas, |
| title |
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_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_sort |
close-to-convex functions with starlike powers
(fungsi hampir cembung dengan kuasa bak bintang) |
| publisher |
Penerbit Universiti Kebangsaan Malaysia |
| publishDate |
2015 |
| url |
http://journalarticle.ukm.my/9477/ http://journalarticle.ukm.my/9477/ http://journalarticle.ukm.my/9477/1/jqma-11-1-paper2.pdf |
| first_indexed |
2023-09-18T19:54:58Z |
| last_indexed |
2023-09-18T19:54:58Z |
| _version_ |
1777406467824943104 |