Here:

• ${\displaystyle u[n]=1}$ for ${\displaystyle n>=0}$, ${\displaystyle u[n]=0}$ for ${\displaystyle n<0}$
• ${\displaystyle \delta [n]=1}$ for ${\displaystyle n=0}$, ${\displaystyle \delta [n]=0}$ otherwise

	Signal, ${\displaystyle x[n]}$	Z-transform, ${\displaystyle X(z)}$	ROC
1	${\displaystyle \delta [n]\,}$	${\displaystyle 1\,}$	${\displaystyle {\mbox{all }}z\,}$
2	${\displaystyle \delta [n-n_{0}]\,}$	${\displaystyle z^{-n_{0}}\,}$	${\displaystyle z\neq 0\,}$
3	${\displaystyle u[n]\,}$	${\displaystyle {\frac {1}{1-z^{-1}}}}$	${\displaystyle |z|>1\,}$
4	${\displaystyle -u[-n-1]\,}$	${\displaystyle {\frac {1}{1-z^{-1}}}}$	${\displaystyle |z|<1\,}$
5	${\displaystyle nu[n]\,}$	${\displaystyle {\frac {z^{-1}}{(1-z^{-1})^{2}}}}$	${\displaystyle |z|>1\,}$
6	${\displaystyle -nu[-n-1]\,}$	${\displaystyle {\frac {z^{-1}}{(1-z^{-1})^{2}}}}$	${\displaystyle |z|<1\,}$
7	${\displaystyle n^{2}u[n]\,}$	${\displaystyle {\frac {z^{-1}(1+z^{-1})}{(1-z^{-1})^{3}}}}$	${\displaystyle |z|>1\,}$
8	${\displaystyle -n^{2}u[-n-1]\,}$	${\displaystyle {\frac {z^{-1}(1+z^{-1})}{(1-z^{-1})^{3}}}}$	${\displaystyle |z|<1\,}$
9	${\displaystyle n^{3}u[n]\,}$	${\displaystyle {\frac {z^{-1}(1+4z^{-1}+z^{-2})}{(1-z^{-1})^{4}}}}$	${\displaystyle |z|>1\,}$
10	${\displaystyle -n^{3}u[-n-1]\,}$	${\displaystyle {\frac {z^{-1}(1+4z^{-1}+z^{-2})}{(1-z^{-1})^{4}}}}$	${\displaystyle |z|<1\,}$
11	${\displaystyle a^{n}u[n]\,}$	${\displaystyle {\frac {1}{1-az^{-1}}}}$	${\displaystyle |z|>|a|\,}$
12	${\displaystyle -a^{n}u[-n-1]\,}$	${\displaystyle {\frac {1}{1-az^{-1}}}}$	${\displaystyle |z|<|a|\,}$
13	${\displaystyle na^{n}u[n]\,}$	${\displaystyle {\frac {az^{-1}}{(1-az^{-1})^{2}}}}$	${\displaystyle |z|>|a|\,}$
14	${\displaystyle -na^{n}u[-n-1]\,}$	${\displaystyle {\frac {az^{-1}}{(1-az^{-1})^{2}}}}$	${\displaystyle |z|<|a|\,}$
15	${\displaystyle n^{2}a^{n}u[n]\,}$	${\displaystyle {\frac {az^{-1}(1+az^{-1})}{(1-az^{-1})^{3}}}}$	${\displaystyle |z|>|a|\,}$
16	${\displaystyle -n^{2}a^{n}u[-n-1]\,}$	${\displaystyle {\frac {az^{-1}(1+az^{-1})}{(1-az^{-1})^{3}}}}$	${\displaystyle |z|<|a|\,}$
17	${\displaystyle \cos(\omega _{0}n)u[n]\,}$	${\displaystyle {\frac {1-z^{-1}\cos(\omega _{0})}{1-2z^{-1}\cos(\omega _{0})+z^{-2}}}}$	${\displaystyle |z|>1\,}$
18	${\displaystyle \sin(\omega _{0}n)u[n]\,}$	${\displaystyle {\frac {z^{-1}\sin(\omega _{0})}{1-2z^{-1}\cos(\omega _{0})+z^{-2}}}}$	${\displaystyle |z|>1\,}$
19	${\displaystyle a^{n}\cos(\omega _{0}n)u[n]\,}$	${\displaystyle {\frac {1-az^{-1}\cos(\omega _{0})}{1-2az^{-1}\cos(\omega _{0})+a^{2}z^{-2}}}}$	${\displaystyle |z|>|a|\,}$
20	${\displaystyle a^{n}\sin(\omega _{0}n)u[n]\,}$	${\displaystyle {\frac {az^{-1}\sin(\omega _{0})}{1-2az^{-1}\cos(\omega _{0})+a^{2}z^{-2}}}}$	${\displaystyle |z|>|a|\,}$