New properties for several classes of functions related to the Fox–Wright functions

Abstract

In this paper our aim is to establish several new properties for some class of functions related to the Fox–Wright functions. In particular, the monotonicity, convexity, sub-additivity and super-additivity properties involving the Fox–Wright functions are proved, These results are also closely connected with some functional inequalities (such as Turán-type inequalities). Moreover, we investigate certain criteria for the univalence and starlikeness for a certain class of functions associated with the Fox–Wright functions.