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(z-i)² 2. Show that the transformation w = maps the interior of the semicircle |z| = 1 into (z+i)² the upper half of the w-plane.

(z-i)² 2. Show that the transformation w = maps the interior of the semicircle |z| = 1 into (z+i)² the upper half of the w-plane.

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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(z-i)² maps the interior of the semicircle [z| = 1 into (z+i)² 2. Show that the transformation w = the upper half of the w-plane.
Transcribed Image Text:(z-i)² maps the interior of the semicircle [z| = 1 into (z+i)² 2. Show that the transformation w = the upper half of the w-plane.
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