Coefficient estimates for a certain family of analytic functions involving a q-derivative operator

In this paper, we study the coefficient estimates for a class of analytic functions defined by using the q-Ruscheweyh derivative operator. In particular, we investigate the first four coefficient bounds, the Fekete–Szegő problem and some other coefficient inequalities for the functions in this class. Several known and new consequences of the results are also pointed out. Further, the results in this work improve or generalize some recent works in the literature.