Question

Complex analysis problem: let F be the family of analytic functions g that map the open unit disc D(0,1) to the set {w=u+iv : -2 < u < 2} such that
g(0)=0. Prove whether or not F is a normal family.

I'm really stuck with this one! Normal family means that every sequence of functions from F contains a subsequence that converges uniformly on compact subsets.

Answer 1

anybody know complex on here?

Answer 2

@myininaya
@satellite73
@Zarkon
@JamesJ
@across
@FoolForMath

Answer 3

edit: should be maps INTO the unit disc...i.e. injectively