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December 3rd, 2016, 01:43 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 01:49 PM. 
December 3rd, 2016, 03:08 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 17,172 Thanks: 1285 
(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? 

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imaginary, parts, real 
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