2. Find the image under the Möbius transformation f(z) = 1/z of the following sets: (a) the line Rez = 2; (b) the line Im z = -1; (c) the circle |z| = 4;
2. Find the image under the Möbius transformation f(z) = 1/z of the following sets: (a) the line Rez = 2; (b) the line Im z = -1; (c) the circle |z| = 4;
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2. Find the image under the Möbius transformation f(z) = 1/z of the following sets:
(a) the line Rez = 2;
(d) the circle |z-1|= 1;
(c) the circle |z| = 4;
(b) the line Imz -1;
(e) the circle |z3i| = 1.
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