Radius of Starlikeness for Classes of Analytic Functions
We consider normalized analytic function f on the open unit disk for which either R e f ( z ) / g ( z ) > 0 , | f ( z ) / g ( z ) - 1 | < 1 or R e ( 1 - z 2 ) f ( z ) / z > 0 for some analytic function g with R e ( 1 - z 2 ) g ( z ) / z > 0 . We have obtained the radii for these function...
Gespeichert in:
Veröffentlicht in: | Bulletin of the Malaysian Mathematical Sciences Society 2020-11, Vol.43 (6), p.4469-4493 |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | We consider normalized analytic function
f
on the open unit disk for which either
R
e
f
(
z
)
/
g
(
z
)
>
0
,
|
f
(
z
)
/
g
(
z
)
-
1
|
<
1
or
R
e
(
1
-
z
2
)
f
(
z
)
/
z
>
0
for some analytic function
g
with
R
e
(
1
-
z
2
)
g
(
z
)
/
z
>
0
. We have obtained the radii for these functions to belong to various subclasses of starlike functions. The subclasses considered include the classes of starlike functions of order
α
, lemniscate starlike functions and parabolic starlike functions. |
---|---|
ISSN: | 0126-6705 2180-4206 |
DOI: | 10.1007/s40840-020-01028-0 |