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arxiv: 1602.05266 · v1 · pith:R2ZDTWH2new · submitted 2016-02-17 · 🧮 math.DG

A note on special polynomials and minimal surfaces

classification 🧮 math.DG
keywords minimalsurfacespolynomialsbehaviorconfigurationsconstructdifferentialequation
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When using Traizet's regeneration technique to construct minimal surfaces, the simplest nontrivial configurations are given as the roots of polynomials that satisfy a hypergeometric differential equation. We exhibit examples of simple minimal surfaces exhibiting the same behavior.

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