Original scientific paper

On the univalence of integral operations involving meromorphic functions

Erhan Deniz ; Department of Mathematics, Faculty of Science and Letters, Kafkas University, Kars, Turkey
Halit Orhan ; Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, Turkey

Abstract

The main object of this paper is to give sufficient conditions for integral operators ${\mathcal{H}}_{\alpha ,\beta ,\gamma }$ and ${\mathcal{G}}_{\lambda ,\mu }$, which are defined here by means of the meromorphic functions, to be univalent in the open unit disk. In particular cases, we find the corresponding simpler conditions for these integral operators.

Keywords

analytic functions; punctured unit disk; meromorphic functions; univalence conditions; integral operators

Hrčak ID:

101378

URI

https://hrcak.srce.hr/101378

Publication date:

10.5.2013.

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