A NOVEL BIVARIATE MITTAG-LEFFLER-TYPE FUNCTION AND ITS PROPERTIES

Abstract

In this paper, we attempted to present and study a novel Mittag-Leffler type function with two variables. Its numerous properties, including Euler, Mellin, Laplace, Whittaker, and Mellin-Barnes integral representations, as well as operational and integral relationships with other known Mittag-Leffler functions of one variable, are established.