Some Univalence Conditions of a Certain General Integral Operator

Camelia Barbatu, Daniel Breaz

Abstract

For some classes of analytic functions f, g, h and k in the open unit disk U, we consider the general integral operator Tn, that was introduced in a recent work [1] and we obtain new conditions of univalence for this integral operator. The key tools in the proofs of our results are the Pascu’s and the Pescar’s univalence criteria, as well as the Mocanu’s and erb’s Lemma. Some corollaries of the main results are also considered. Relevant connections of the results presented here with various other known results are briefly indicated.

Keywords

integral operators; analytic and univalent functions; open unit disk; univalence conditions; Schwarz Lemma.

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