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
November 29th, 2013, 10:58 AM   #1
Member
 
Joined: Oct 2011

Posts: 40
Thanks: 0

how can i show all analytic functions such that

How can I find all analytic functions f=u+iv with u(x,y)=(x^2)+(y^2)

Thanks for the help. I appreciate it.
mami is offline  
 
November 29th, 2013, 11:08 AM   #2
Member
 
Joined: Oct 2011

Posts: 40
Thanks: 0

Re: how can i show all analytic functions such that

i'm asking this question.
mami is offline  
December 2nd, 2013, 08:47 AM   #3
Math Team
 
Joined: Sep 2007

Posts: 2,409
Thanks: 6

Re: how can i show all analytic functions such that

If you know what an analytic function is, you should know the "Cauchy-Riemann" equations.
With f(z)= u(x, y)+ Iv(x, y), z= x+ iy




Since , and so

and
.
HallsofIvy is offline  
Reply

  My Math Forum > College Math Forum > Complex Analysis

Tags
analytic, functions, show



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Show function is not analytic WWRtelescoping Complex Analysis 1 February 25th, 2014 07:53 PM
how can i show all analytic functions such that mami Complex Analysis 1 November 29th, 2013 11:03 AM
Analytic Functions Juliayaho Complex Analysis 1 November 9th, 2012 08:16 AM
If f(z) is analytic in the domain 0<Re(z)<1, then show that zeraoulia Complex Analysis 3 August 26th, 2012 08:09 AM
question about analytic functions eric3353 Calculus 1 December 22nd, 2008 08:26 AM





Copyright © 2019 My Math Forum. All rights reserved.