5. Prove that f(z) = (2+1/2) is a conformal map from the half-disc {z = x...

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Question

5. Prove that f(z) = (2+1/2) is a conformal map from the half-disc {z = x +iy : 2< 1, y >0} to the upper half-plane. (Hint: T

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Answer 1

Answer #1

sy P(Z)= -1 (7+) 7€? Zsain|121<1,7»o} Clearly, f(2) be analytic in the given domain. f (2) 2 - 2 + 272 ZER 922 reiz | 121 <1

Answer 2

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