The sixth Painlevé transcendents and the associated Schlesinger equation

DOI10.4171/PRIMS/160zbMath1330.34142OpenAlexW2217598448MaRDI QIDQ496421

Shun Shimomura

Publication date: 21 September 2015

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/prims/160

zbMATH Keywords

Painlevé transcendentsisomonodromy deformationdistribution of PolesSchlesinger equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (4)

Three-parameter solutions of the PV Schlesinger-type equation near the point at infinity and the monodromy data ⋮ Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation. I. ⋮ The Maillet-Malgrange type theorem for generalized power series ⋮ Convergence of formal Dulac series satisfying an algebraic ordinary differential equation

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