| Title:
|
On new subclass of analytic functions with respect to symmetric points (English) |
| Author:
|
Ghanim, Firas |
| Author:
|
Darus, Maslina |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
45 |
| Issue:
|
3 |
| Year:
|
2009 |
| Pages:
|
179-188 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present paper, we obtain coefficient estimates for new subclass of analytic functions with respect to symmetric points. A sufficient condition for a function to belong to this class of function is also obtained. (English) |
| Keyword:
|
analytic functions |
| Keyword:
|
starlike |
| Keyword:
|
convex |
| Keyword:
|
symmetric point |
| MSC:
|
30C45 |
| idZBL:
|
Zbl 1212.30044 |
| idMR:
|
MR2591674 |
| . |
| Date available:
|
2009-09-18T11:24:42Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134232 |
| . |
| Reference:
|
[1] Acu, M., Owa, S.: On some subclass of univalent functions.J. Inequal. Pure Appl. Math. 6 (3) (2005), 1–6. MR 2164311 |
| Reference:
|
[2] Clunie, J., Keogh, F. R.: On starlike and schlicht functions.J. London Math. Soc. 35 (1960), 229–233. MR 0110814, 10.1112/jlms/s1-35.2.229 |
| Reference:
|
[3] El-Ashwah, R. M., Thomas, D. K.: Some subclasses of close-to-convex functions.J. Ramanujan Math. Soc. 2 (1987), 86–100. Zbl 0673.30009, MR 0945612 |
| Reference:
|
[4] Ghanim, F., Darus, M.: On certain class of analytic function with fixed second positive coefficient.Int. J. Math. Anal. 2 (2) (2008), 55–66. Zbl 1180.30012, MR 2418574 |
| Reference:
|
[5] Ghanim, F., Darus, M., Sivasubramanian, S.: On new subclass of analytic univalent function.Int. J. Pure Appl. Math. 40 (3) (2007), 307–319. Zbl 1132.30314, MR 2362747 |
| Reference:
|
[6] Goodman, A. W.: On uniformly convex functions.Ann. Polon. Math. 56 (1) (1991), 87–92. Zbl 0744.30010, MR 1145573 |
| Reference:
|
[7] Goodman, A. W.: On uniformly starlike functions.J. Math. Anal. Appl. 155 (1991), 364–370. Zbl 0726.30013, MR 1097287, 10.1016/0022-247X(91)90006-L |
| Reference:
|
[8] Kanas, S., Ronning, F.: Uniformly starlike and convex function and other related classes of univalent functions.Ann. Univ. Mariae Curie-Skłodowska Sect. A 53 (1991), 95–105. MR 1775538 |
| Reference:
|
[9] Lakshminarasimhan, T. V.: On subclasses of functions starlike in the unit disc.J. Indian Math. Soc. 41 (1977), 233–243. Zbl 0446.30004, MR 0515378 |
| Reference:
|
[10] Sakaguchi, K.: On certain univalent mapping.J. Math. Soc. Japan 11 (1959), 72–75. MR 0107005, 10.2969/jmsj/01110072 |
| Reference:
|
[11] Thomas, D. K.: On starlike and close-to-convex univalent functions.J. London Math. Soc. 42 (1967), 472–435. Zbl 0174.12004, MR 0215977 |
| . |
