Certain subclass of $p$-valent meromorphic Bazilevi'{c} functions defined by fractional $q$-calculus operators

Abstract

The aim of the present paper is to introduce and investigate a new subclass of <span>Bazilevi</span><span>'</span>{c} functions in the punctured unit disk<br /> <span>$mathcal{U}^*$</span> which have been described through using of the well-known fractional <span>$q$</span>-calculus operators, Hadamard product and a linear operator. In addition, we obtain some sufficient conditions for the functions belonging to this class and for some of its subclasses.