Painlevé equations and isomonodromic deformations of equations of the Heun class

DOI10.1007/BF02551029zbMath0984.34076MaRDI QIDQ1592174

S. Yu. Slavyanov

Publication date: 6 August 2001

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Painlevé equationisomonodromic deformationHeun equation

Mathematics Subject Classification ID

Ordinary differential equations on complex manifolds (34M45)

Related Items (6)

Antiquantization of deformed Heun-class equations ⋮ Isomonodromic deformations and ``antiquantization for the simplest ordinary differential equations ⋮ Solution space monodromy of a special double confluent Heun equation and its applications ⋮ Integrability of the one dimensional Schrödinger equation ⋮ Hamiltonians associated with the third and fifth Painlevé equations ⋮ ``Quantizations of the second Painlevé equation and the problem of the equivalence of its \(L-A\) pairs

Cites Work

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• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• The isomonodromic deformation method in the theory of Painlevé equations
• Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
• Monodromy- and spectrum-preserving deformations. I
• Structural theory of special functions
• Confluence of Fuchsian second-order differential equations
• Painlevé equations as classical analogues of Heun equations

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