Graphing functions of two complex variables.

[pbandjay]

Hello,

I have come across this problem in my studies where I need to try to come up with a graph of a function involving two complex numbers. I have been trying to figure this out for a while now, but I am not sure how to do it. Is there any way to do this type of thing by hand or in Maple?

The type of thing I need to find a graphical representation of is:

$$f(z,w) = \sqrt{(\log |z+w|)^2 + (\log |z-\overline{w}|)^2}$$

This is a bit simpler than the ones I have, but it's similar. If anyone can help, thank you in advance!

 

[rochfor1]

You're not going to have much luck as the domain is four dimensional and therefore difficult to visualize.

 

[pbandjay]

That's what I was afraid of... Thank you anyways.