On the univalence of integral operations involving meromorphic functions

Erhan Deniz; Halit Orhan

Vol. 18 No. 1 (2013)

Regular Articles

On the univalence of integral operations involving meromorphic functions

Erhan Deniz
Halit Orhan

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Abstract

The main object of this paper is to give sufficient conditions for integral
operators $\mathrm{{\mathcal{H}}}_{\alpha,\beta,\gamma}$ and
$\mathrm{{\mathcal{G}}}_{\lambda,\mu}$, 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

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