5. Show that all analytic automorphisms of the unit disk are of the form:
You can assume the Schwarz Lemma and the Maximum Principle. For part of this prob-
lem, first show that indeed f is an automorphisms of the unit disk; give a complete prof
(You might want to use Res(g- - f: 20)/f'(20) if f has a zero of order one at Zo and f and
g are analytic at 20- If so, please justify this formula.)
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