Complex Analysis. Let Where is open unite disc. Where g is a holomorphic function. Suppose there...

Question

Question

Complex Analysis.

Let 9: DD Where $\mathbb{D}$ is open unite disc.

Where g is a holomorphic function. Suppose there are distinct points 31,2 ED such that:

g(21) = 21 = g(22) .

Show that g(21) <1

NOTE: We need to show strictly less than inequality

Answer 1

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