17. Find an LFT that maps |z| ≤ 1 onto |w| ≤1 so that z = i/2 is mapped onto w = 0. Sketch the images of the lines x = const and y = const.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 50E
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17. Find an LFT that maps |z| ≤ 1 onto |w| ≤1 so that
z = i/2 is mapped onto w = 0. Sketch the images of
the lines x = const and y = const.
Transcribed Image Text:17. Find an LFT that maps |z| ≤ 1 onto |w| ≤1 so that z = i/2 is mapped onto w = 0. Sketch the images of the lines x = const and y = const.
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