I want to plot a complex function f(z) in 3D

A complex function f (z) = Conjugate(z) / z

How do we plot this in MATLAB?

Answer 1

[Star Strider]

I’m not certain what you want.

Try this —

t = linspace(0, 10);
f = @(z) conj(z)./z;
z = exp(1j*2*pi*t/max(t));

figure
plot3(real(f(z)), imag(f(z)), t)
xlabel('Re')
ylabel('Im')
zlabel('t')
title('f(z)')
grid on

.

Answer 2

[Paul]

f(z) can be defined by:

f = @(z) conj(z)./z;

As for the plot, that depends on the kind of plot that's desired. Here's a plot of Re(f) over a region of the complex plane.

[R,I] = meshgrid(-5:.1:5,-5:.1:5);
F = real(f(R + 1j*I));
surf(R,I,F);