This may be useful
I've been trying to show that is analytic (whenever it's defined) using the Cauchy-Riemann equations. But I get some pretty ugly expressions that I can't simplify if I use or polar form. Is there some way around it, or should I stick with that method and the expressions will simplify once I partially differentiate?
Thanks for any help!
Ah thanks, that helps loads!Originally Posted by Moo
Well, I just started complex analysis, so I want to get a hang of the C-R equations, even though it does say the differentiation rules are analogous to the real calculus ones. Thanks though!Originally Posted by Opalg