New Subclass of Analytic Function Involving q -Mittag-Leffler Function in Conic Domains

Abstract

In this paper, we formulate the $q$ -analogus of differential operator associated with $q$ -Mittag-Leffler function. By using this newly defined operator, we define a new subclass $k-\mathcal{U}{\mathcal{S}}_{q,\gamma }^m\left(\alpha ,\beta \right),$ of analytic functions in conic domains. We investigate the number of useful properties such that structural formula, coefficient estimates, Fekete–Szego problem and subordination result. We also highlighted some known corollaries of our main results.