| Title:
|
On strong starlikeness criteria of $p$-valent functions (English) |
| Author:
|
Chaurasia, V. B. L. |
| Author:
|
Parihar, Hari Singh |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
133 |
| Issue:
|
3 |
| Year:
|
2008 |
| Pages:
|
241-245 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
H. Silverman (1999) investigated the properties of functions defined in terms of the quotient of the analytic representations of convex and starlike functions. Many research workers have been working on analytic functions to be strongly starlike like Obradović and Owa (1989), Takahashi and Nunokawa (2003), Lin (1993) etc. In this paper we obtain a sufficient condition for $p$-valent functions to be strongly starlike of order $\alpha $. (English) |
| Keyword:
|
analytic function |
| Keyword:
|
strongly starlike function |
| MSC:
|
30C45 |
| idZBL:
|
Zbl 1199.30058 |
| idMR:
|
MR2494778 |
| DOI:
|
10.21136/MB.2008.140614 |
| . |
| Date available:
|
2010-07-20T17:27:02Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140614 |
| . |
| Reference:
|
[1] Silverman, H.: Convex and starlike criteria.Internet J. Math. Math. Sci. 22 (1999), 75-79. Zbl 0921.30009, MR 1684341, 10.1155/S0161171299220753 |
| Reference:
|
[2] Lin, L. J.: On a criterion of starlikeness.Math. Japonica 38 (1993), 897-899. MR 1240291 |
| Reference:
|
[3] Nunokawa, M.: On the order of strongly starlikeness of strongly convex functions.Proc. Japan Acad. 69 (1993), 234-237. Zbl 0793.30007, MR 1249218 |
| Reference:
|
[4] Obradović, M., Owa, S.: A criterion for starlikeness.Math. Nachr. 140 (1989), 97-102. MR 1015390, 10.1002/mana.19891400109 |
| Reference:
|
[5] Takahashi, N., Nunokawa, M.: A certain connection between starlike and convex functions.Appl. Math. Lett. 66 (2003), 653-655. Zbl 1064.30008, MR 1986030, 10.1016/S0893-9659(03)00062-4 |
| . |
