On some univalence criteria for certain integral operators

Petrică Dicu; Mădălina Dicu; Andrei-Florin Albișoru

doi:10.24193/subbmath.2025.4.04

Authors

Petrică Dicu Lucian Blaga University, Sibiu, Romania
Mădălina Dicu Department of Computer Science, Babeș-Bolyai University, Cluj-Napoca, Romania https://orcid.org/0009-0001-3877-527X
Andrei-Florin Albișoru Department of Mathematics, Babeș-Bolyai University, Cluj-Napoca, Romania https://orcid.org/0009-0006-0553-0547

DOI:

https://doi.org/10.24193/subbmath.2025.4.04

Keywords:

analytic functions, integral operators, univalence criteria, Schwarz lemma

Abstract

For analytic functions in the open unit disk, we define new general integral operators. The aim of this paper is to study these new operators and related univalence criteria. First of all, we recall some classes of functions defined on the unit disk, that we will use to construct our integral operators. Secondly, we recall the univalence criteria that we use in the proofs of our results. Finally, we use the univalence criteria to establish univalence conditions related to our general integral operators.

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