5. Consider the harmonic function u(x, y) = 1−y + x/(x² + y²) on the upper half plane y >0. What is the corresponding harmonic function on the first quadrant > 0, y > 0, under the transformation z z²?
5. Consider the harmonic function u(x, y) = 1−y + x/(x² + y²) on the upper half plane y >0. What is the corresponding harmonic function on the first quadrant > 0, y > 0, under the transformation z z²?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 25E
Question
Can you please help me out with question 5?
Transcribed Image Text:5. Consider the harmonic function u(x, y) = 1−y + x/(x² + y²) on the upper
half plane y >0. What is the corresponding harmonic function on the first
quadrant > 0, y > 0, under the transformation z z²?
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