Certain Classes of Analytic Functions Involving Multiplier Transformations

Abstract

In this paper, we study certain subclasses of analytic functions involving multiplier transformations in the open unit disc. We derive few subordination results for the functions in these subclasses and discuss the applications of subordination results with the help of complex functions. We obtain coefficient estimates, radii of starlikeness, convexity and close-to-convexity, extreme points, and integral means inequalities, growth and distortion theorems for these classes.