A sharp inclusion theorem for a certain class of analytic functions defined by the Salagean derivative

TL;DR

This paper uses Briot-Bouquet differential subordination to establish the optimal inclusion relations for a specific class of analytic functions defined via the Salagean derivative.

Contribution

It introduces a new method to determine the best inclusion relations for Salagean derivative-based function classes using differential subordination.

Findings

Established the best possible inclusion relations

Applied Briot-Bouquet differential subordination

Enhanced understanding of Salagean derivative function classes

Abstract

In this short note we employ the Briot-Bouquet differential subordination to determine the best possible inclusion relation within a certain family of analytic functions defined by the Salagean derivative.