Answer: In 1-4, use (2) to describe the image of the upper half-plane y ;:::: 0 under

Chapter 20, Problem 3

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In 1-4, use (2) to describe the image of the upper half-plane y ;:::: 0 under the conformal mapping w = f(z) that satisfies the given conditions. Do not attempt to findf(z). f'(z) = (z + 1)-112(z - 1)112, f(-1) = 0

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