Colorful visualization of complex functions

A short introduction with lots of examples

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Second

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Cross Coloring

\(f(z) = i(z-i)^2(z+i)(z-1-\frac{3}{10}i)(z+1-\frac{3}{10}i),\quad z \in \mathbb{C}(0,2)\)

It is a polynomial of degree five with one root of multiplicity two and three roots of multiplicity one.

Its formula may seem shocking but if one observes the locations of the zeros then he or she might be able to write the factored form. (Then we would need a nice coefficient too.)

Developed by: Levente Lócsi (ELTE IK NA / EJC IM) at NuHAG in May 2011. Valid XHTML and CSS.