Show that w = Ln z-1/z+1 maps the upper half-plane onto the horizontal strip 0 Im

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Show that w = Ln z-1/z+1 maps the upper half-plane onto the horizontal strip 0 ≤ Im w ≤ π as shown in the figure.

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Advanced Engineering Mathematics

ISBN: 978-0470458365

10th edition

Authors: Erwin Kreyszig

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Question Posted: Oct 04, 2022 03:18 AM

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Show that w = Ln z-1/z+1 maps the upper half-plane onto the horizontal strip 0 Im

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ANSWER To show that the function w Ln z1z1 maps the upper halfplane onto the horizontal strip 0 Im w we need to prove the following The function w Ln z1z1 maps the upper halfplane onto the wplane The ...View the full answer

Advanced Engineering Mathematics

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