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

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.

anonymous · Answer

anybody know complex on here?

hero · Answer

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

anonymous · Answer

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