Univalence criteria for certain integral operator

Abstract

Dedicated to the memory of Professor Petric˘a Dicu
In this paper, we introduce a new general integral operator for analytic functions in the open unit disk U in ℂ as an extension of the integral operator defined by P. Dicu, M. Dicu, and A.F. Albi¸soru. We focus our attention on some sufficient conditions for the univalence of the integral operator. We end this paper with a remark on a modification of the studied integral operator.