On a class of univalent functions defined by Salagean differential operator
Adela Olimpia Taut, Georgia Irina Oros, and Roxana Sendrutiu
Source: Banach J. Math. Anal. Volume 3, Number 1 (2009), 61-67.
Abstract
By using a certain operator $S^n$, we introduce a class of holomorphic functions $S_n(\beta )$, and obtain some subordination results. We also show that the set $S_n(\beta )$ is convex and obtain some new differential subordinations related to certain integral operators.
Primary Subjects: 30C80
Secondary Subjects: 30C45, 30A20, 34A40
Keywords: differential operator; differential subordination; dominant; best dominant
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bjma/1240336424
Mathematical Reviews number (MathSciNet):
MR2461747
Zentralblatt MATH identifier:
1155.30339
References
G. Oros and G.I. Oros, A Class of Holomorphic Function II, Libertas Math., 23 (2003), 65---68.
Mathematical Reviews (MathSciNet):
MR2002307
Zentralblatt MATH:
1060.30021
G.S. Sălăgean, Subclasses of univalent functions, Complex Analysis--Fift Romanian--Finnish Seminar, Part 1 (Bucharest, 1981), 362--372, Lecture Notes in Math., 1013, Springer, Berlin 1983.
Mathematical Reviews (MathSciNet):
MR738107
D.J. Hallenbeck and S. Ruscheweyh, Subordination by convex functions, Proc. Amer. Math. Soc., 52 (1975), 191--195.
Mathematical Reviews (MathSciNet):
MR374403
Digital Object Identifier: doi:10.2307/2040127
Zentralblatt MATH:
0311.30010
2009 © Banach Mathematical Research Group
Banach Journal of Mathematical Analysis
