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.

Keywords and Phrases

$q$-Starlike with respect to symmetric points, $q$-derivative, univalent function.

A.M.S. subject classification

30C45.

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