Mittag-Leffler Operator Connected with Certain Subclasses of Bazilevi\u{c} functions

TL;DR

This paper introduces a new class of analytic functions combining the Mittag-Leffler operator with Bazilevi functions, exploring their properties, radius problems, and integral operator applications.

Contribution

It presents a novel generalized function class involving Mittag-Leffler and Bazilevi functions, with analysis of inclusion, radius, and integral operator properties.

Findings

Established inclusion properties of the new class

Solved radius problems for the class

Applied Bernardi-Libera-Livingston integral operator

Abstract

In this paper, we introduce a new generalized class of analytic functions involving the Mittag-Leffler operator and Bazilevi\u{c} functions. We examine inclusion properties, radius problems and an application of the generalized Bernardi-Libera-Livingston integral operator for this function class.