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W = Z-1 c) Show that the image of the annulus {2: 1 -1, 1W - 1²/31 | > 14/1/2/2} d) Find the Möbius transformation that maps. i) 0→0, 1-i → 2-di, i1; ii) i→0, -3→ 6+2i, ∞ → 2i

W = Z-1 c) Show that the image of the annulus {2: 1 -1, 1W - 1²/31 | > 14/1/2/2} d) Find the Möbius transformation that maps. i) 0→0, 1-i → 2-di, i1; ii) i→0, -3→ 6+2i, ∞ → 2i

Advanced Engineering Mathematics
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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dont know how to do c and dii

W = Z-1 c) Show that the image of the annulus {2: 1</2)<2} under is the domain & W: Rew > -1, 1W - 1²/31 | > 14/1/2/2} d) Find the Möbius transformation that maps. i) 0→0, 1-i → 2-di, i1; ii) i→0, -3→ 6+2i, ∞ → 2i
Transcribed Image Text:W = Z-1 c) Show that the image of the annulus {2: 1</2)<2} under is the domain & W: Rew > -1, 1W - 1²/31 | > 14/1/2/2} d) Find the Möbius transformation that maps. i) 0→0, 1-i → 2-di, i1; ii) i→0, -3→ 6+2i, ∞ → 2i
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