Geometry behind one of the Painlevé III differential equations

Snapshots of modern mathematics from Oberwolfach

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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Mathematical subjects

Analysis
Geometry and Topology

Connections to other fields

Physics

Author(s)

Claus Hertling
Senior Editor:
Carla Cederbaum
Junior Editor:
Johannes Niediek, Anja Randecker

License

DOI (Digital Object Identifier)

10.14760/SNAP-2018-010-EN

Download PDF

PDF

snapshots: overview

Mathematical subjects

Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics

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