CERTAIN RESULTS ON $q$-STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC AND CONJUGATE POINTS

Abstract

In the present paper, we introduce two Subclasses $\displaystyle S_{s}^{\ast}(\delta , \theta , q) $ and $\displaystyle S_{c}^{\ast}(\delta , \theta , q)$ of analytic and $q$-starlike functions with respect to symmetric and conjugate points in the open unit disk $\displaystyle {\Delta}$. For functions belonging to these Classes, we obtain estimates coefficient and sufficient Condition.