Color Visualization of Blaschke Product Mappings

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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.

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Complex Variables, 30D50

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http://salesiana.dossiersoluciones.com/handle/123456789/209363

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.0415
 http://arxiv.org/abs/0812.0415

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arXiv