Coefficient Estimates for a Subclass of Meromorphic Multivalent <i>q</i>-Close-to-Convex Functions

Abstract

By making use of the concept of basic (or q-) calculus, many subclasses of analytic and symmetric q-starlike functions have been defined and studied from different viewpoints and perspectives. In this article, we introduce a new class of meromorphic multivalent close-to-convex functions with the help of a q-differential operator. Furthermore, we investigate some useful properties such as sufficiency criteria, coefficient estimates, distortion theorem, growth theorem, radius of starlikeness, and radius of convexity for this new subclass.

Keywords

• meromorphic functions
• Janowski functions
• q-calculus
• q-differential operator