Geometry behind one of the Painlevé III differential equations

오버불파크에서 찍은 현대수학의 면모

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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수학적 주제

해석학

기하학/위상수학

다른 분야와의 연관성

물리학

저자

Claus Hertling

라이선스

CC BY-SA-4.0

디지털 객체 식별자(DOI)

10.14760/SNAP-2018-010-EN

PDF 다운로드

application/pdf

snapshots-2018-010.pdf

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수학적 주제

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수학교육/교수법

이산수학/수학기초론

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수치해석/과학계산

확률론/통계학

다른 분야와의 연관성

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금융

인문/사회과학

생명 과학

물리학

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