If there is any mistake in the question Please find that and continue with the same Let D contain those points z = x+iy of the circle |z| < 2 that do not lie in the circle|z − 1| < 1. Find a conformal map of D to the upper half-plane.HINT: Mapping z = 2 to ∞ will map D to a strip. Use a translation, rotation, and stretchingto map that strip to the strip -∞

Answered: Image /qna-images/answer/505dc812-b19a-4b27-8577-e0b2013c7b37.jpg

Answered: Let D contain those points z = x+iy of…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section: Chapter Questions

Problem 17RE

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Let D contain those points z = x+iy of the circle |z| < 2 that do not lie in the circle |z − 1| < 1. Find a conformal map of D to the upper half-plane. HINT: Mapping z = 2 to ∞ will map D to a strip. Use a translation, rotation, and stretching to map that strip to the strip -∞