certain integrals involving generalized mittag-leffler type functions

Introduction/purpose: certain integrals involving the generalized mittag-leffler function with different types of polynomials are established. methods: the properties of the generalized mittag-leffler function are used in conjunction with different kinds of polynomials such as jacobi, legendre, and hermite in order to evaluate their integrals. results: some integral formulae involving the legendre function, the bessel maitland function and the generalized hypergeometric functions are derived. conclusions: the results obtained here are general in nature and could be useful to establish further integral formulae involving other kinds of polynomials.