Abstract

In this article, the multi-parameters Mittag-Leffler function is studied in detail. As a consequence, a series of novel results such as the integral representation, series representation and Mellin transform to the above function, are obtained. Especially, we associate the multi-parameters Mittag- Leffler function with two special functions which are the generalized Wright hypergeometric and the Fox's-H functions. Meanwhile, some interesting integral operators and derivative operators of this function, are also discussed.