Coefficient Inequalities for a Subclass of Symmetric q -Starlike Functions Involving Certain Conic Domains

Abstract

In this paper, we make use of a certain Ruscheweyh-type $q$ -differential operator to introduce and study a new subclass of $q$ -starlike symmetric functions, which are associated with conic domains and the well-known celebrated Janowski functions in $\mathbb{D}$ . We then investigate many properties for the newly defined functions class, including for example coefficients inequalities, the Fekete–Szegö Problems, and a sufficient condition. There are also relevant connections between the results provided in this study and those in a number of other published articles on this subject.