Distortion bound and growth theorems for a subclass of analytic functions defined by $q$-derivative

Authors: OSMAN ALTINTAŞ, NİZAMİ MUSTAFA

Abstract: In this study, we introduce and examine a subclasses of analytic and univalent functions defined by $q$-derivative. Here, we give necessary conditions for the functions to belong to these subclasses, and distortion bound and growth theorems for the functions belonging to these classes.

Keywords: Coefficient bound, convex function, $q$- derivative, quasi close-to-$q$ -convex function

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