On the univalence of certain integral transform

Univalence of Certain Integral Operators

We study some integral operators and determine conditions for the univalence of these integral operators.

Some criteria for univalence of certain integral operators

We derive some criteria for univalence of certain integral operators for analytic functions in the open unit disk. 1. Introduction. Let Ꮽ be the class of the functions f (z) which are analytic in the open unit disk U = {z ∈ C : |z| < 1} and f (0) = f (0) − 1 = 0.

New Criteria for Univalence of Certain Integral Operators

On the univalence of an integral operator

Let U = {z ∈ C : |z| < 1} be the unit disk in the complex plane, and let A be the class of functions which are analytic in the unit disk normalized with f (0) = f ′ (0)− 1 = 0. We denote by P the class of the functions p which are analytic in U , p (0) = 1 and Re p (z) > 0, for all z ∈ U . Let S be the subclass of A, consisting of all univalent functions f in U , and we consider S∗ the subclass...

On the univalence of integral operations involving meromorphic functions

The main object of this paper is to give sufficient conditions for integral operators Hα,β,γ and Gλ,μ, 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. AMS subject classifications: Primary 30C45; Secondary 30C75