Symmetries and apparent singularities for the simplest Fuchsian equations

DOI10.1134/S0040577917120030zbMath1398.34130OpenAlexW2781957625MaRDI QIDQ1708352

S. Yu. Slavyanov

Publication date: 5 April 2018

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

Full work available at URL: https://doi.org/10.1134/s0040577917120030

zbMATH Keywords

Painlevé equationantiquantizationdeformed Heun equationHeun equationhypergeometric equation

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) 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)

Related Items (5)

Antiquantization as a specific way from the statistical physics to the regular physics ⋮ Confluent Heun equation and confluent hypergeometric equation ⋮ Generalized hypergeometric solutions of the Heun equation ⋮ Antiquantization, isomonodromy, and integrability ⋮ Relations between second-order Fuchsian equations and first-order Fuchsian systems

Cites Work

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• Antiquantization of deformed Heun-class equations
• Painlevé equations and related topics. Proceedings of the international conference, Saint Petersburg, Russia, June 17--23, 2011
• Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients
• Euler integral symmetries for a deformed Heun equation and symmetries of the Painlevé PVI equation
• Polynomial degree reduction of a Fuchsian \(2\times2\) system
• Painlevé equations as classical analogues of Heun equations
• New solutions of Heun s general equation
• Removing false singular points as a method of solving ordinary differential equations

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