Some properties of certain expressions of analytic functions
Let A denote the class of functions f ( z ) which are analytic in the open unit disk and normalized by f ( 0 ) = f ′ ( 0 ) − 1 = 0 . In this paper the expression f ′ ( z ) − 1 f ( z ) / z is studied using differential subordinations and different properties of f ( z ) z , as well as sufficient condi...
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| Veröffentlicht in: | Computers & mathematics with applications (1987) 2011-11, Vol.62 (9), p.3438-3445 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let
A
denote the class of functions
f
(
z
)
which are analytic in the open unit disk and normalized by
f
(
0
)
=
f
′
(
0
)
−
1
=
0
. In this paper the expression
f
′
(
z
)
−
1
f
(
z
)
/
z
is studied using differential subordinations and different properties of
f
(
z
)
z
, as well as sufficient conditions for starlikeness and univalence of
f
(
z
)
∈
A
, are obtained. Also, several open problems are posed. |
|---|---|
| ISSN: | 0898-1221 1873-7668 |
| DOI: | 10.1016/j.camwa.2011.08.059 |