Mathematics – Complex Variables
Scientific paper
2008-12-02
Mathematics
Complex Variables
Scientific paper
A visualization of Blaschke product mappings can be obtained by treating them as canonical projections of covering Riemann surfaces and finding fundamental domains and covering transformations corresponding to these surfaces. A working tool is the technique of simultaneous continuation we introduced in previous papers. Here, we are refining this technique for some particular types of Blaschke products for which coloring pre-images of annuli centered at the origin allow us to describe the mappings with a high degree of fidelity.
Ballantine Cristina
Ghisa Dorin
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