Certain Geometric Study Involving the Barnes–Mittag-Leffler Function

Author:

Alenazi Abdulaziz12ORCID,Mehrez Khaled3ORCID

Affiliation:

1. Department of Mathematics, College of Science, Northern Border University, Arar 73213, Saudi Arabia

2. Center for Scientific Research and Entrepreneurship, Northern Border University, Arar 73213, Saudi Arabia

3. Department of Mathematics, IPEIK Kairouan, University of Kairouan, Kairouan 3100, Tunisia

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.

Funder

Scientific Research at Northern Border University

Publisher

MDPI AG

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