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 D. We then investigate many properties for the newly defined functions class, including for example coefficients inequalities, the Fekete-Szego 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.