Define harmonic function.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 29E
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Define harmonic function. Prove that the function u = 3x²y+2x² – y³ – 2y² is harmonic. Find
its harmonic conjugate v and express u +iv as an analytic function of z.
Transcribed Image Text:Define harmonic function. Prove that the function u = 3x²y+2x² – y³ – 2y² is harmonic. Find its harmonic conjugate v and express u +iv as an analytic function of z.
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