Solve Cauchy-Riemann Equations with Polar Coordinates

[y.moghadamnia]

hey, I know this might be abit silly, but u know the cauchy-reimann formula for a complex function to be diffrentiatable? here is a link to what I am talking about:
http://en.wikipedia.org/wiki/Cauchy-Riemann_equations
my question is: how do I write it in polar coordinates?

 

[vela]

The answer to your question is on the page you linked to, pretty near the end, under "Other Representations."

 

[y.moghadamnia]

yeah, I know that. my question is how to change the diffrentiates from respect to x to for example r and theta. I know they might be easy using the chain rules, but I always get so confused on this and thought maybe sb could help me write it

 

[vela]

You do use the chain rule. Give it a shot and show us what you come up with.