V in C is a region,let z0 in V,and let

F={f in H(V):f(z0)=1,Re(f(z))>=0 for all z in V}.

Show F is a normal family.

I want to use Montel's theorem,but I don't know how to show it is locally bounded.Thanks for any help

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- Apr 20th 2010, 09:22 AMcopyfriendprove F is normal family
V in C is a region,let z0 in V,and let

F={f in H(V):f(z0)=1,Re(f(z))>=0 for all z in V}.

Show F is a normal family.

I want to use Montel's theorem,but I don't know how to show it is locally bounded.Thanks for any help