Relations between linear equations and Painlevé's equations

DOI10.1007/s00365-013-9216-0zbMath1304.30057OpenAlexW2151436968MaRDI QIDQ485291

S. Yu. Slavyanov

Publication date: 9 January 2015

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-013-9216-0

zbMATH Keywords

Painlevé equationHeun equationFuchsian equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Miscellaneous topics of analysis in the complex plane (30E99)

Related Items (5)

Solutions of the bi-confluent Heun equation in terms of the Hermite functions ⋮ Antiquantization, isomonodromy, and integrability ⋮ Generalized-hypergeometric solutions of the general Fuchsian linear ODE having five regular singularities ⋮ Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions ⋮ SERIES SOLUTIONS OF CONFLUENT HEUN EQUATIONS IN TERMS OF INCOMPLETE GAMMA-FUNCTIONS

Cites Work

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• Integrable dynamical systems generated by quantum models with an adiabatic parameter
• Isomonodromic deformations and ``antiquantization for the simplest ordinary differential equations
• On canonical parametrization of the phase spaces of equations of isomonodromic deformations of Fuchsian systems of dimension $ 2\times 2$. Derivation of the Painlevé VI equation
• Painlevé equations as classical analogues of Heun equations

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