Bernd Thaller
Institut f. Mathematik
Universität Graz
A8010 Graz, Austria
email: bernd.thaller@kfunigraz.ac.at
Visualization of complexvalued functions
Index:
Click on any of the icons below to see a fullsized image (JPEG, each about 30k).

f(z) = z
(=color map) 

f(z)=1/z 

f(z)=1/z^{2} 

f(z)=1/(z^{5}1) 

f(z) = z/conj(z) 

f(z) = sqrt(z) 

f(z) = z^{3/2} 

f(z) = ln(z) 

f(z) = exp(z) 

f(z) = exp(1/z) 

f(z) = sin(z) 

f(z) = tan(z) 

f(z) = arctan(z) 

f(z) = artanh(z) 

f(z) = gamma(z) 

f(z) = erf(1/z) 

f(z) = zeta(z) 

f(z) = J_{0}(z)+iY_{0}(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.
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Bernd Thaller
Institute of Mathematics
University of Graz
Page design of course by: Bernd Thaller (email, homepage)
last changed: 12151996