I have two questions:
1. Find a bijective conformal mapping from G={z in C : |z|<2 and |z-1|>1} onto the open unit disc D.
I'm not really sure where to begin. This set G is more complicated than any of the examples we have of this sort of process; all of our examples have been simply connected.
2. Show that f(z)=(z2 - 1)/(z2 + 1) is a bijective
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