Symmetry and holomorphy of the third-order ordinary differential equation satisfied by the third Painlevé Hamiltonian

2008/04/28 by Yusuke Sasano, Sasano, Yusuke
Mathematics · Physics and Astronomy · #32S65 #34M45 #34M55 #58F05 #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Waves and Solitons #Numerical methods for differential equations #Quantum Mechanics and Non-Hermitian Physics #math.AG #math.CA #msc:32S65 #msc:34M45 #msc:34M55 #msc:58F05

paper · pdf · doi:10.48550/arxiv.0804.4397

14 pages, 1 figure

openalex publication_date 2008/04/28 · arxiv created 2008/05/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study symmetry and holomorphy of the third-order ordinary differential equation satisfied by the third Painlevé Hamiltonian.

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