identically zero
Being equal to the zero function and not merely zero at a particular point in its domainBeing equal to the zero function and not merely zero at a particular point in its domain.
» Any function satisfying this property must be identically zero.
Meaning
1 senses(not comparable)Being equal to the zero function and not merely zero at a particular point in its domain.
If a holomorphic function f(z) approaches zero as z#92;to#92;infty, then f is identically zero.
Examples
2 sentencesAny function satisfying this property must be identically zero.
If a holomorphic function has an infinite sequence of zeroes with an accumulation point, then it is identically zero.