Applications of a differential operator to a class of harmonic mappings defined by Mittag-leffer functions

Abstract

Utilizing the concepts of Harmonic analysis and Mittag-Leffler functions we introduce a new subclass of harmonic mappings involving differential operator in domain of Janowski functions. Moreover, we investigate analytic criteria, necessary and sufficient conditions, topological properties, extreme points, radii problems and some applications of this work for the class of functions defined by this operator.

Keywords

• harmonic functions
• janowski function
• starlike functions
• mittag-leffer functions
• radii problems