Certain Class of Analytic Functions Based on $q$-difference operator

TL;DR

This paper introduces a generalized class of starlike functions based on the q-difference operator, deriving integral means inequalities and subordination results for various subclasses.

Contribution

It extends existing classes of starlike functions by incorporating q-difference operators and establishes new inequalities and subordination properties.

Findings

Derived integral means inequalities for the new class

Established subordination results for subclasses

Extended known results to generalized starlike functions

Abstract

In this paper, we considered a generalized class of starlike functions defined by Kanas and R\u{a}ducanu\cite{10} to obtain integral means inequalities and subordination results. Further, we obtain the for various subclasses of starlike functions.