Some applications of the generalized Bernardi - Libera - Livingston integral operator on univalent functions

TL;DR

This paper explores new subclasses of univalent functions using the generalized Bernardi-Libera-Livingston integral operator, establishing relationships with classes studied by Jin-Lin Liu, advancing the understanding of univalent function theory.

Contribution

It introduces and analyzes new subclasses of univalent functions via a generalized integral operator, connecting them to existing classes by Jin-Lin Liu.

Findings

New subclasses of univalent functions are defined.

Relationships between the new classes and Jin-Lin Liu's classes are established.

Properties of the subclasses are investigated.

Abstract

In this paper by making use of the generalized Bernardi - Libera - Livingston integral operator we introduce and study some new subclasses of univalent functions. Also we investigate the relations between those classes and the classes which are studied by Jin-Lin Liu.