On the inclusion properties for ϑ-spirallike functions involving both Mittag-Leffler and Wright function

Abstract

By making use of the both Mittag-Leffler and Wright function, we establish a new subfamily of the class Sϑ of ϑ-spirallike functions. The main object of the paper is to provide sufficient conditions for a function to be in this newly established class and to discuss subordination outcomes.