| Title:
|
On some simple sufficient conditions for univalence (English) |
| Author:
|
Tuneski, Nikola |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
126 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
229-236 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper some simple conditions on $f^{\prime }(z)$ and $f^{\prime \prime }(z)$ which lead to some subclasses of univalent functions will be considered. (English) |
| Keyword:
|
univalent |
| Keyword:
|
starlike |
| Keyword:
|
sharp result |
| MSC:
|
30C45 |
| MSC:
|
30C55 |
| idZBL:
|
Zbl 0986.30012 |
| idMR:
|
MR1826485 |
| DOI:
|
10.21136/MB.2001.133914 |
| . |
| Date available:
|
2009-09-24T21:49:31Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133914 |
| . |
| Reference:
|
[1] Goodman, A. W.: Univalent Functions, Vol. I and II.Tampa, Florida, 1983. MR 0704183 |
| Reference:
|
[2] Krzyz, J.: A counter example concerning univalent functions.Folia Societaties Scientarium Lubliniensis Mat. Fiz. Chem. 2 (1962), 57–58. |
| Reference:
|
[3] Mocanu, P. T.: Two simple conditions for starlikeness.Mathematica (Cluj) 34 (1992), 175–181. MR 1235503 |
| Reference:
|
[4] Obradović, M.: Simple sufficient conditions for starlikeness.Matematicki Vesnik. 49 (1997), 241–244. MR 1611761 |
| Reference:
|
[5] Mocanu, P. T.: Some starlikeness conditions for analytic functions.Rev. Roumaine Math. Pures. Appl. 33 (1988), 117–124. MR 0948445 |
| Reference:
|
[6] Halenbeck, D. J.: Ruscheweuh, S.: Subordination by convex functions.Proc. Amer. Math. Soc. 52 (1975), 191–195. MR 0374403, 10.1090/S0002-9939-1975-0374403-3 |
| Reference:
|
[7] Miller, S. S., Mocanu P. T.: Subordination-preserving integral operators.Trans. Amer. Math. Soc. 283 (1984), 605–615. MR 0737887, 10.1090/S0002-9947-1984-0737887-4 |
| . |
