Fractal Fract, Vol. 8, Pages 400: Certain Geometric Study Involving the Barnes–Mittag-Leffler Function

Fractal Fract, Vol. 8, Pages 400: Certain Geometric Study Involving the Barnes–Mittag-Leffler Function

Fractal and Fractional doi: 10.3390/fractalfract8070400

Authors: Abdulaziz Alenazi Khaled Mehrez

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.