Author:
Nunokawa Mamoru,Sokół Janusz,Cho Nak Eun,Kwon Oh Sang
Abstract
Abstract
Let "Equation missing" denote the class of functions f that are analytic in the unit disc "Equation missing" and normalized by
f
(
0
)
=
f
′
(
0
)
−
1
=
0
. In this paper some conditions are determined for starlikeness of the Libera integral operator
F
(
z
)
=
2
z
∫
0
z
f
(
t
)
d
t
.
MSC:30C45, 30C80.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference11 articles.
1. Stankiewicz J: Quelques problèmes extrèmaux dans les classes des fonctions α -angulairement ètoilèes. Ann. Univ. Mariae Curie-Skłodowska, Sect. A 1966, 20: 59-75.
2. Brannan DA, Kirwan WE: On some classes of bounded univalent functions. J. Lond. Math. Soc. (2) 1969, 1: 431-443.
3. Mocanu PT: On starlikness of Libera transform. Mathematica 1986,28(51):153-155.
4. Mocanu PT: New extensions of a theorem of R. Singh and S. Singh. Mathematica 1995,37(60):171-182.
5. Miller SS, Mocanu PT: Libera transform of functions with bounded turning. J. Math. Anal. Appl. 2002, 276: 90-97. 10.1016/S0022-247X(02)00371-2