area plotting in the complex plane

2011 4 8
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Does anybody know how to "plot" an area in the complex plane? For example
{z:|f(z)|<1} where f(z)=(1+z)/(1-z).
Or more generally, f(z) is a complex function.
P.S. Shaded area may be preferable.

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Walter Roberson
Walter Roberson 2011-4-8

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What kind of representation were you hoping for? For example can you use the change of variables z = p + q*1j, use p as one axis, q as another axis, and then use isosurfaces on the resulting 4 dimensional plot (the other two axes being real(f(z)) and image(f(z))) ?

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jack
jack 2011-4-9
I think two dimension is enough. For instance, plot in the complex plane the area {z:|f(z)|<1} where f(z)=(1+z)/(1-z) and z=x+iy. Actually the curve |f(z)|=1 is not hard to plot by plotting the implicit function.
Is there any function for plotting a "open set" in MATLAB?

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