On movable singularities of Garnier systems

DOI10.1134/S0001434610110210zbMath1232.34118arXiv0907.1834MaRDI QIDQ650351

Renat Gontsov

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.1834

zbMATH Keywords

Painlevé equationmeromorphic functionFuchsian systemmovable singularityGarnier systemLauricella hypergeometric equationMalgrange \(\Theta \)-divisorSchlesinger isomonodromic deformation

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 (2)

Jacobi-type differential relations for the Lauricella function \(F_D^{(N)}\) ⋮ Triangular Schlesinger systems and superelliptic curves

Cites Work

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• Apparent singularities of Fuchsian equations and the Painlevé property for Garnier systems
• On orders of movable poles of the Schlesinger equation

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