Find a conformal mapping which maps the region between |z −1| > 1 and |z| < 2 onto the upper half plane.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 36E: Find the area of ABC In Exercise 35, but assume that C is the reflection of B across the y-axis.
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Find a conformal mapping which maps the region between |z −1| > 1 and |z| < 2 onto the
upper half plane.     

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