
Complex Analysis Complex Analysis Math Forum 
 LinkBack  Thread Tools  Display Modes 
December 3rd, 2016, 12:43 PM  #1 
Newbie Joined: Dec 2016 From: London Posts: 4 Thanks: 0  Real and Imaginary parts
Hi guys, I'm really stuck on this question; if you could help, it would be really great, thanks.
Last edited by skipjack; December 3rd, 2016 at 12:49 PM. 
December 3rd, 2016, 02:08 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,034 Thanks: 1393 
(a) As $u  v$ is constant $\partial u/\partial x = \partial v/\partial x$ and $\partial u/\partial y = \partial v/\partial y$. As the CauchyRiemann equations also hold, it's easily deduced that all the partial derivatives are zero, which implies that $f$ is constant. Can you now make progress with (b) by using the hint provided? 

Tags 
imaginary, parts, real 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
real vs imaginary  xamdarb  Algebra  4  March 9th, 2014 06:13 PM 
Real and imaginary parts  consigliere  Calculus  3  January 30th, 2014 06:06 AM 
Find real and imaginary parts  szak1592  Complex Analysis  2  March 28th, 2013 09:47 AM 
imaginary and real roots  Dan154  Algebra  5  October 3rd, 2012 02:32 PM 
RealImaginary Orthogonality  ElusiveNeutrino  Complex Analysis  2  March 23rd, 2009 07:44 AM 