How to plot a function with complex variables?

Hello guys, how do I plot a function with complex variables? For instance, I want to plot a function shown in attached file for |z|<1.

Thanks!

Answer 1

[Star Strider]

I am not certain from your description what you want to plot.

Try this:

ang = 0:0.1:2*pi;
z = exp(1i*ang);
f = @(z) 1./z;

figure
plot(real(f(z)), imag(f(z)))
axis equal

figure
plot(ang, real(z))
hold on
plot(ang, imag(z))
hold off
grid

The first figure plots the imaginary component as a function of the real component. The second plots both as a function of ‘ang’.

Answer 2

[Mark Saad]

https://www.mathworks.com/help/matlab/creating_plots/plot-imaginary-and-complex-data.html

[Jullienne Franz]

Thank you for your sugestion, but I can't seem to follow how to do that in my case. To simplify my question, how do I plot the function, say f(z)=1/z for |z|<1, where z is a complex number.