My Math Forum  

Go Back   My Math Forum > College Math Forum > Complex Analysis

Complex Analysis Complex Analysis Math Forum


Reply
 
LinkBack Thread Tools Display Modes
January 26th, 2017, 11:40 PM   #1
Newbie
 
Joined: Jan 2017
From: Canada

Posts: 21
Thanks: 0

Harmonic Function problems with log|f(z)|

Hi guys, any help would be appreciated!!

Suppose that f is analytic and nonzero in a domain D. Prove that log|f(z)| is harmonic in D. Use this to find a harmonic function φ(x,y) in the annulus {z : 1 ≤ |z| ≤ 2} such that φ = 1 on {|z| = 1} and φ = 2 on {|z| = 2}.
Lalaluye is offline  
 
Reply

  My Math Forum > College Math Forum > Complex Analysis

Tags
function, harmonic, log|fz|, problems



Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Music theory, is there something like Laplace equation harmonic function? HawkI Math 2 April 22nd, 2016 06:15 AM
How does the harmonic number function take this form? Mathbound Calculus 1 November 22nd, 2015 08:04 PM
Two function problems njuice8 Algebra 2 September 12th, 2013 08:37 AM
function problems nandopas Algebra 2 December 12th, 2011 11:10 PM
Statistics: density function and harmonic mean colorless Advanced Statistics 2 October 5th, 2011 04:12 PM





Copyright © 2017 My Math Forum. All rights reserved.