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Question: 39 fix a e c with a...

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3.9. Fix a E C with a < 1 and consider z-a f(z) 1- aZ (a) Show that fa(z) is a Möbius transformation. (b) Show that fa-1 (z)--a(z). (c) Prove that fa(z) maps the unit disk D[O,1] to itself in a bijective fashion.

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