New univalence criteria for an integral operator with Mocanu’s and Şerb’s lemma

In this paper we consider a general integral operator for analytic functions in the open unit disk and we obtain sufficient conditions for univalence of this integral operator, using Mocanu’s and Şerb’s Lemma. This integral operator was considered in a recent work Bărbatu, C. and Breaz, D., [The univalence conditions for a general integral operator, Acta Univ. Apulensis Math. Inform., 57 (2019), 133–145]. The results derived in this paper are shown to follow upon specializing the parameters involved in our results. Several corollaries of the main results are also considered.