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 given and...
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia,
2015-07.
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| Online Access: | Get fulltext |
| LEADER | 01238 am a22001213u 4500 | ||
|---|---|---|---|
| 001 | 9477 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a D K Thomas, |e author |
| 245 | 0 | 0 | |a Close-to-convex functions with starlike powers (fungsi hampir cembung dengan kuasa bak bintang) |
| 260 | |b Penerbit Universiti Kebangsaan Malaysia, |c 2015-07. | ||
| 856 | |z Get fulltext |u http://journalarticle.ukm.my/9477/1/jqma-11-1-paper2.pdf | ||
| 520 | |a 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. | ||
| 546 | |a en | ||