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.

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