Unilateral Z-Transform

A one-sided (singly infinite) Z-Transform,

$Z[{a_n}_(n=0)^infty](z)=sum_(n=0)^infty(a_n)/(z^n).$

This is the most common variety of Z-transform since it is essentially equivalent to a generating function, and it what is usually meant by "the" Z-transform. The unilateral -transform $Z[{a_n}_(n=0)^infty](z)$ is implemented in the Wolfram Language as ZTransform[a, n, z].

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More things to try:

ack(2,ack(2,1))
differential equations J_2(x)
graph sin t + cos (sqrt(3)t)

Cite this as:

Weisstein, Eric W. "Unilateral Z-Transform." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/UnilateralZ-Transform.html

Unilateral Z-Transform

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