4. Find fractional linear transformations f satisfying f(z) = w; for i = 1,2,3 if (a) z1=1, z=0, 23 = -1; w₁ = 0, w₂ = -i, w3 = 0. (b) ₁i, 220, 23 = -1: w₁ = -i, w2 = 0, w3 = ∞0. == w1
4. Find fractional linear transformations f satisfying f(z) = w; for i = 1,2,3 if (a) z1=1, z=0, 23 = -1; w₁ = 0, w₂ = -i, w3 = 0. (b) ₁i, 220, 23 = -1: w₁ = -i, w2 = 0, w3 = ∞0. == w1
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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Could you please help me out with question 4? Parts an and b please?
Transcribed Image Text:4. Find fractional linear transformations f satisfying f(z) = w; for i = 1,2,3 if
(a) z1=1, z=0, 23 = -1; w₁ = 0, w₂ = -i, w3 = 0.
(b) ₁i, 220, 23 = -1: w₁ = -i, w2 = 0, w3 = ∞0.
==
w1
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