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Which software (preferably: free/open source) can one use to graphically represent a complex function? I know that real functions can be easily represented with Octave or R; what can you recommend for complex functions?

Thanks in advance, Lucian

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WolframAlpha – draks ... Jul 24 '12 at 17:50
The article "Phase Plots of Complex Functions" in the June 2011 AMS Notices may have some relevant information. – Willie Wong Jul 24 '12 at 17:58

You may find this link helpful. You might also enjoy this book's approach to complex variable.

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You can try sage at

Edit by Rahul: SAGE has a complex_plot function which visualizes complex functions using domain colouring. An example can be seen in this blog post about SAGE 3.4.1.

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@Rahul : Thanks for the edit! (As a general comment to the OP and others, Sage is an incredibly powerful suite of mathematical software; on the flip side, because it is so powerful, answers pointing to the use of Sage can really benefit from a brief description of what components to use and how to use them.) – Willie Wong Jul 27 '12 at 8:42

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