MMN-3997
Monotonicity properties and functional inequalities for the Barnes Mittag-Leffler function
Khaled Mehrez; Sourav Das; Anish Kumar;Abstract
In this paper, our main focus is to establish complete monotonicity properties, convexity properties and some interesting inequalities for the Barnes Mittag-Leffler function. Furthermore, monotonicity properties of ratios of Barnes Mittag-Leffler functions are derived. Moreover, Turan, Lazarevic and Wilker type inequalities are obtained for this function as application. Results obtained in this work are new and their importance is illustrated by several attractive consequences and corollaries.
Vol. 24 (2023), No. 2, pp. 893-907
DOI: 10.18514/MMN.2023.3997