G(s) = Y(s)/R(s)

E.g.
For a simple RC network we may write:

V1(s) = (R+(I/Cs))I(s) and
V2(s) = I(s)/Cs that results

G(s) = V2(s)/V1(s) = 1/(RCs + 1)

where RC is a time constant and
G(S) has a single pole s = -1/RC