Fekete-Szegö Problem for Certain Class of Bi-stralike Functions involving q-differential Operator

Abstract

Making use of \(q\)-derivative operator, in this paper, we introduce new subclasses of the function class & of normalized analytic and bi-starlike functions defined in the open disk \(\mathbb{U}\). Furthermore, we find estimates on the first two Taylor-Maclaurin coefficients \(|a_2|\) and \(|a_3|\). Moreover, we obtain Fekete-Szegö inequalities for the new function classes.