Painlevé equations and the middle convolution

2006/05/15 by Michael Dettweiler, Dettweiler, Michael, Stefan Reiter +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Meromorphic and Entire Functions #Nonlinear Waves and Solitons #math-ph #math.AG #math.MP

paper · pdf · doi:10.48550/arxiv.math/0605384

arxiv created 2006/05/15 · openalex publication_date 2006/05/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use the middle convolution to obtain some old and new algebraic solutions of the Painlevé VI equations.

Citations

• On the middle convolution

Cited by

• Quivers and difference Painleve equations
• Middle Convolution and Heun's Equation

Related

• On Algebraic Solutions to Painleve VI
• Classical transcendental solutions of the Painlevé equations and their degeneration
• A Four-parametric Rational Solution to Painleve' VI
• A unified approach to the Painleve Transcendents
• R. Fuchs' problem of the Painleve equations from the first to the fifth