Properties of q-Starlike Functions Associated with the q-Cosine Function

Abstract

In this paper, our main focus is to define a new subfamily of q-analogue of analytic functions associated with the q-cosine function. Furthermore, we investigate some useful results such as the necessary and sufficient condition based on the convolution idea, growth and distortion bounds, closure theorem, convex combination, radii of starlikeness, extreme point theorem and partial sums results for the newly-defined functions class.

A Study on Certain Subclasses of Analytic Functions Involving the Jackson q-Difference Operator

“…Due to the wide range of applications of q-calculus and to the significance of qoperators, many researchers have exhaustively studied several subclasses of analytic functions by using the q-derivative operator D q , for a brief survey on these classes, readers may refer to [28][29][30][31][32][33][34][35][36][37][38][39].…”