On the starlikeness of iterative integral operators
Keywords:
Integral operator, iterative, univalent and starlike functions.Abstract
The main object of the present paper is to investigate starlikeness of certain integral operators, which are defined here by means of iterative in the open disk $\mathbb{D}_R=\{z\in\mathbb{C}:|z|<R\}$ with $R\geq1$. Also we prove that these result are best possible.
Mathematics Subject Classification (2010): 30C45, 30C80.
References
Branges, L. de, A proof of the Bieberbach conjecture, Acta Math., 154(1985), 137-152.
Fournier, R., Ruscheweyh, S., On two extremal problems related to univalent functions, The Rocky Mountain J. Math., 24(1994), no. 2, 529-538.
Merkes, E.P., Wright, D.J., On the univalence of a certain integral, Proc. Amer. Math. Soc., 27(1971), 97-100.
Miller, S.S., Mocanu, P.T., Differential subordinations, Theory and Applications, Marcel Dekker, New York, 2000.
Ong, K.W., Tan, S.L., Tu, Y.E., Integral operators and univalent functions, Tamk. J. Math., 43(2012), no. 2, 215-221.
Pfaltzgraff, J.A., Univalence of the integral of …, Bull. Lond. Math. Soc., 7(1975), 254-256.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2016 Studia Universitatis Babeș-Bolyai Mathematica
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
