Some applications of differential subordination on analytic functions

Abstract

Let denote the class of analytic functions f = {f 1, f 2, … , f s } on the unit disk U satisfying where and is the extended Ruscheweyh derivative defined by and h is convex univalent in U with h(0) = 1. Also let F = {F 1, F 2, … , F s }, where It is proved that whenever and also that Three more such classes denoted by , and are introduced and studied here by subordination methods and convolutions.