How to plot a function with complex variables?

Question

Jullienne Franz 2018-6-27

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https://ww2.mathworks.cn/matlabcentral/answers/407695-how-to-plot-a-function-with-complex-variables

编辑： dpb 2020-6-25

func.png

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!

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Answer 1

Star Strider 2018-6-27

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https://ww2.mathworks.cn/matlabcentral/answers/407695-how-to-plot-a-function-with-complex-variables#answer_326538

在 MATLAB Online 中打开

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’.

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Answer 2

Mark Saad 2018-6-27

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https://ww2.mathworks.cn/matlabcentral/answers/407695-how-to-plot-a-function-with-complex-variables#answer_326527

编辑：dpb 2020-6-25

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

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Jullienne Franz 2018-6-27

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.

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