Institut f. Mathematik
Universität Graz
A-8010 Graz, Austria
e-mail: bernd.thaller@kfunigraz.ac.at
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f(z) = z (=color map) |
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f(z)=1/z |  |
f(z)=1/z2 |
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f(z)=1/(z5-1) |  |
f(z) = z/conj(z) |  |
f(z) = sqrt(z) |
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f(z) = z3/2 |  |
f(z) = ln(z) |  |
f(z) = exp(z) |
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f(z) = exp(1/z) |  |
f(z) = sin(z) |  |
f(z) = tan(z) |
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f(z) = arctan(z) |  |
f(z) = artanh(z) |  |
f(z) = gamma(z) |
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f(z) = erf(1/z) |  |
f(z) = zeta(z) |  |
f(z) = J0(z)+iY0(z) |
These plots have been generated with Mathematica using the package ComplexPlot.m. This package uses a mapping of the compactified complex plane onto the surface of the color manifold in the HLS color model. This mapping can be described as a stereographic projection. A similar (but not the same) color map is described on John L. Richardson's page about visualization.
Bernd Thaller
Institute of Mathematics
University of Graz