How to plot a complex function in matlab like : f(z)=sin(z)?

How to plot a complex function in matlab like : f(z)=sin(z)?

z is the complex like z=x+iy

Answer 1

[John D'Errico]

The problem is, if z is a complex variable, then so is the extension of sin(z) into the complex plane. For example...

sin(1 + i)

ans = 1.2985 + 0.6350i

And that means you are asking to plot something that has FOUR dimensions. Remember that a complex variable is itself 2 variables stuffed into one. And since we cannot easily plot in 4 dimensions (unless your own personal holodeck is working, mine is always broken, and Starfleet Command never sends the parts I need. They just tell me to call the borg for parts. You know how well that would end.)

The point is, we can plot THREE dimensional things, but even that is as a projection into the 2-d plane of your monitor.

fr = @(xr,xi) real(sin(xr + i*xi));
fi = @(xr,xi) imag(sin(xr + i*xi));

fsurf(fr,'r')
hold on
fsurf(fi,'g')

●

I have plotted the real and imaginary parts separately, but on the same figure. Or I might have plotted them side-by-side, using subplot. But until the borg answers my calls, that blasted holodeck still won't work. Wait, wait, the doorbell is ringi..........

[sasan sadeghi]

thanks

[sasan sadeghi]

I tried to plot f(z)= e^z with your way , but i got Warning: Error updating FunctionSurface.,

is there another way to plot "e^z"?

Thanks in advance,