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.