Let *A* and *B* be the domain and range sets of specified functions. *A* transform is a mapping *T* : *A* → *B* from *A* into *B*. Recall that we have earlier studied Laplace and Fourier transforms. These are *integral transforms* by which we mean that these mappings are defined through integrals. Further, these transforms belong to a class of transforms dealing with functions of continuous variables. Now we consider a transformation called the *Z*-transformation which deals with functions of discrete variables. Indeed the *Z*-transform is the discrete analogue of the Laplace transform. Consequently, for every operational rule and application of Laplace transform we have an operational rule and ...

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