Adjective
identically zero (not comparable)
(mathematics, of a function) Being equal to the zero function and not merely zero at a particular point in its domain.
If a holomorphic function
f
(
z
)
{\displaystyle f(z)}
approaches zero as
z
→
∞
{\displaystyle z\to \infty }
, then
f
{\displaystyle f}
is identically zero.