Geometry behind one of the Painlevé III differential equations

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Geometry behind one of the Painlevé III differential equations

The Painlevé equations are second order differential equations, which were first studied more than 100 years ago. Nowadays they arise in many areas in mathematics and mathematical physics. This snapshot discusses the solutions of one of the Painlevé equations and presents old results on the asymptotics at two singular points and new results on the global behavior. 

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Área matemática

Análisis
Geometría y Topología

Relaciones con otros campos

Física

Autor(es)

Claus Hertling

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2018-010-EN

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snapshots-2018-010.pdf

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