CRITICAL BEHAVIOURS OF THE FIFTH PAINLEVÉ TRANSCENDENTS AND THE MONODROMY DATA

DOI10.2206/kyushujm.71.139zbMath1372.34137arXiv1602.08808OpenAlexW2962736843MaRDI QIDQ5268810

Shun Shimomura

Publication date: 21 June 2017

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.08808

zbMATH Keywords

critical behaviourisomonodromy deformationfifth Painlevé equationSchlesinger equationmonodromy data

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 (3)

Three-parameter solutions of the PV Schlesinger-type equation near the point at infinity and the monodromy data ⋮ ELLIPTIC ASYMPTOTIC REPRESENTATION OF THE FIFTH PAINLEVÉ TRANSCENDENTS ⋮ On the convergence of formal exotic series solutions of an ODE

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