On certain inclusion relations of functions with bounded rotations associated with Mittag-Leffler functions

Abstract

Inspired essentially by the excellence of the implementations of the Mittag-Leffler functions in numerous areas of science and engineering, the authors present, in a unified manner, a detailed account of the Mittag-Leffler function and generalized Mittag-Leffler functions and their interesting and useful characteristics. Besides that, we have used generalized Mittag-Leffler functions to define some novel classes associated with bounded boundary and bounded radius rotations. Moreover, several inclusion relations and radius results, along with some integral preserving properties of these newly constructed classes have been investigated. Our derived results are analogous to some of those already present in the literature. The results showed that the proposed findings procedure is dependable and meticulous in presenting the tendencies of subordination, super-ordination and fractional operators techniques.

Keywords

• bounded boundary rotations
• strongly janowski type functions
• subordination
• generalized mittag-leffler functions