Most of the special functions were encountered while doing other scientific endeavours. For instance, Bessel’s functions appear in solving Laplace’s partial differential equation in cylindrical coordinates. Special functions frequently manifest from a differential equation and their properties are often found by manifesting power series. Now in this paper, our aim is to find discrete analogue of Meijer’s G-function which have been introduced by using the theory of quantum calculus. Further, we have derived some of its properties and the difference equation analogue of the G-functions differential equation