  Our aim in this paper, is to establish certain new integrals for the the
(p,q)-Mathieu--power series. In particular, we investigate the Mellin-Barnes
type integral representations for a particular case of thus special function.
Moreover, we introduce the notion of the (p,q)-Mittag-Leffler functions and we
present a relationships between thus two functions. Some other applications are
proved, in particular two Tur\'an type inequalities for the (p,q)-Mathieu
series are proved.
