New univalence criteria for some 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.

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.

Univalence of Certain Integral Operators

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

New Criteria for Univalence of Certain Integral Operators

Some general univalence criteria for a family of integral operators

The purpose of the present paper is to extend the univalent condition of some integral operators. Relevant connections of the results presented here with various known results are briefly indicated. Further, we improve some recent results of ([4,8,9]).