Symmetry is a fascinating property of numerous mathematical notions. In analysis function f:[a,b]→R symmetric about a+b2 satisfies the equation f(a+b−x)=f(x). this paper, we investigate relationship unified Mittag–Leffler with some known special functions. We have obtained integral transforms in terms Wright generalized function. also established recurrence relation along another important resu...

Abstract. In this paper a reliable algorithm for the iterative Laplace transform method (ILTM) is presented. ILTM is a combination of Laplace transform method and Iterative method to solve spaceand timefractional telegraph equations. The fractional derivatives are considered in Caputo sense. Closed form analytical expressions are derived in terms of the Mittag-Leffler functions. An illustrative...

We first introduce a generalization of the Bernoulli polynomials, and consequently of the Bernoulli numbers, starting from suitable generating functions related to a class of Mittag-Leffler functions. Furthermore, multidimensional extensions of the Bernoulli and Appell polynomials are derived generalizing the relevant generating functions, and using the Hermite-Kampé de Fériet (or Gould-Hopper)...