On some starlike mappings involving certain convolution operators

TL;DR

This paper introduces new subclasses of starlike univalent functions in the unit disk using convolution operators, providing univalence conditions, examples, and characterizations to advance understanding of these mappings.

Contribution

It presents novel subclasses of starlike functions defined via convolution operators, along with univalence criteria and characterizations, expanding the theoretical framework.

Findings

New subclasses of starlike functions introduced

Univalence conditions established with examples

Basic characterizations provided

Abstract

This paper makes a modest contribution to the family of starlike univalent mappings in the open unit disk, by the introduction of some new subclasses of them via certain convolution operators. A new univalence condition is given with examples. Some basic characterizations of functions of the new subclasses are also mentioned.