Certain Geometric Study Involving the Barnes–Mittag-Leffler Function

Abstract

The main purpose of this paper is to study certain geometric properties of a class of analytic functions involving the Barnes–Mittag-Leffler function. The main mathematical tools are the monotonicity patterns of some class of functions associated with the gamma and digamma functions. Furthermore, some consequences and examples are presented.

Keywords

• convex function
• starlike function
• univalent function
• Barnes–Mittag-Leffler function