Question

How should I plot this function:

z^(1/n) [complex roots of z]

with ezsurf(), ezmesh(), …? In the official documentation is clearly stated that ezsurf() and ezsurfc() for example, do not accept complex inputs.

I understand the trick is probably in using both real() and imag() functions, but even so, I can’t get rid of the problem.

Answer 1

The basic idea seems to work for me alright. Of course you can go on to tweak the axis limits, grid spacing, color look-up table, etc.. The online documentation at http://www.mathworks.com/help/techdoc/ref/ezsurf.html has some nice examples that aren’t found in the built-in help system. Good luck!

syms z n
subplot(2,1,1)
ezsurf(real(z^(1/n)))
subplot(2,1,2)
ezsurf(imag(z^(1/n)))