On a subclass of convex functions

Authors

Keywords:

Starlikeness, univalent function, composition of functions.

Abstract

In this paper we study a subclass of convex functions. Among others we prove an interesting property regarding the composition of functions from this class. The basic tool of the proof is the theory of differential subordination.

Mathematics Subject Classification (2010): 30C45.

References

Miller, S.S., Mocanu, P.T., Differential Subordinations Theory and Applications, Marcel Dekker, New York, Basel, 2000.

Mocanu, P.T., Bulboaca, T., Salagean, G.S., Teoria Geometrica a Functiilor Univalente, Ed. a II-a, Casa Cartii de Stiinta, Cluj-Napoca, 2006, 460+9 pag., ISBN 973-686-959-8 (Romanian only).

STUDIA UBB MATHEMATICA, Volume 61 (LXI), No. 2, June 2016

Downloads

Published

2016-06-30

Issue

Volume 61, No. 2, June 2016

Section

Articles

License

Copyright (c) 2016 Studia Universitatis Babeș-Bolyai Mathematica

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

On a subclass of convex functions. (2016). Studia Universitatis Babeș-Bolyai Mathematica, 61(2), 137-146. https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5540

Most read articles by the same author(s)