Identity theorem (englanti)
Etsi sanaa " Identity theorem " NRICH | PLUS | maths.org | Googlella
Määritelmä taso 5
Let D be a domain and f,g : D → C be holomorphic. Suppose zk → z0 in D , zk ≠ z0 and f(zk) = g(zk) for all k . Then f(z) = g(z) for all z in D . In particular, setting g ≡ 0 gives that the zeros of a non-constant holomorphic function are isolated.
Rahoittajat: EU Socrates Minerva, HeyMath!, Cambridge University Press