Univalence of Certain 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

The Univalence Conditions of Some Integral Operators

For analytic functions f, g in the open unit disk U, we define two new integral operators. The main object of this paper is to obtain the univalence conditions for the integral operators. Several corollaries of the main results are also considered.

New univalence criteria for some integral operators

In this work we consider some integral operators for analytic functions in the open unit disk and we obtain new univalence criteria for these integral operators, using Mocanu’s and Şerb’s Lemma, Pascu’s Lemma. Mathematics Subject Classification (2010): 30C45.

Univalence preserving integral operators defined by generalized Al-Oboudi differential operators

In this paper, we investigate sufficient conditions for the univalence of an integral operator defined by generalized Al-Oboudi differential operator.