we recall some definitions and notations from the $q$-calculus. In Section 3, we specify the $q$-analogues of the Natural transform in terms of a series representation. In Section 4, we apply the first of two analogues of the Natural transform to a certain class of special functions and pick up some results by considering $q $-Laplace and $q$-Sumudu transforms. In Section 5, we figure out some values of the second representation of the $q$-transform and extend the resulting theorems to the case of $q$-Laplace and $q$-Sumudu transforms. In Section 6 and 7, we derive certain results concerning Fox’s $H_{q}$-function and propose some counter examples as an application to the previous theory.

The $q$-Calculus
================

For the convenience of the reader, we provide a summary of mathematical notations used in this paper. Throughout this paper, wheresoever it appears , $q$ statisfies the condition that $0<q<1.$

The $q$-calculus begins with the definition of the $q$-analogue $d_{q}f\left( x\right) $ of the differential of the function, i.e.,$$d_{q}f\left( x\right) =f\left( x\right) -f\left( qx\right) ,$$and the $q$-analogue of the derivative$,$$$\frac{d_{q}f\left( x\right) }{d_{q}x}=\frac{f\left( x\right) -f\left(
qx\right) }{\left( q-1\right) x}.$$On certain additional requirements, the $q$-analogue may be unique, but sometimes it is useful to consider several $q$-analogues of 