Global integral criteria for composition operators

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.

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]).

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

Some concavity properties for general integral operators

Let $C_0(alpha)$ denote the class of concave univalent functions defined in the open unit disk $mathbb{D}$. Each function $f in C_{0}(alpha)$ maps the unit disk $mathbb{D}$ onto the complement of an unbounded convex set. In this paper, we study the mapping properties of this class under integral operators.