On Janowski functions associated with (n,m)-symmetrical functions

Abstract

The aim in the present work is to introduce and study new subclasses of analytic functions that are defined by using the generalized classes of Janowski functions combined with the $(n,m) $-symmetrical functions, that generalize many others defined by different authors. We gave a representation theorem for these classes, certain inherently properties, while covering and distortion properties are also pointed out.

Keywords

• janowski functions
• differential subordination
• starlike functions
• convex functions
• m-fold symmetric domain
• (n,m)-symmetrical functions