+ iv is analyt: and satisfies the a real constant

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
icon
Related questions
Question
I need the answer as soon as possible
7.17. Suppose that f = u + iv is analytic in a rectangle with sides
parallel to the coordinate axes and satisfies the relation u, + vy = 0 for all
x and y. Show that there exist a real constant c and a complex constant d
such that f(z) = -icz + d.
Transcribed Image Text:7.17. Suppose that f = u + iv is analytic in a rectangle with sides parallel to the coordinate axes and satisfies the relation u, + vy = 0 for all x and y. Show that there exist a real constant c and a complex constant d such that f(z) = -icz + d.
Expert Solution
steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage