More on the Unified Mittag-Leffler Function

Abstract

Symmetry is a fascinating property of numerous mathematical notions. In mathematical analysis a function f : [a, b] -> R symmetric about a+b/2 satisfies the equation f (a + b - x) = f (x). In this paper, we investigate the relationship of unified Mittag-Leffler function with some known special functions. We have obtained some integral transforms of unified Mittag-Leffler function in terms of Wright generalized function. We also established a recurrence relation along with another important result. Furthermore, we give formulas of Riemann-Liouville fractional integrals and fractional integrals containing unified Mittag-Leffler function for symmetric functions.