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

Document Type: Review articles

Authors

1 University of Anbar, Department of Mathematics, Ramadi-Iraq

2 Department of Mathematics, Mustansiriyah University, Iraq

Abstract

The aim of the present paper is to introduce and investigate a new subclass of Bazilevi'{c} functions in the punctured unit disk
$\mathcal{U}^*$ which have been described through using of the well-known fractional $q$-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.

Keywords