First-order ODE systems generating confluent Heun equations

DOI10.1007/s10958-020-05102-7zbMath1457.34125OpenAlexW3096087008MaRDI QIDQ2211311

A. A. Salatich, O. L. Stesik, S. Yu. Slavyanov

Publication date: 11 November 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-020-05102-7

zbMATH Keywords

Painlevé equationsisomonodromic deformationsantiquantizationconfluent Heun equations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Linear ordinary differential equations and systems in the complex domain (34M03) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Cites Work

• Unnamed Item
• Antiquantization and the corresponding symmetries
• Antiquantization of deformed Heun-class equations
• Confluent Heun equation and confluent hypergeometric equation
• Apparent singularities of D-finite systems
• Antiquantization as a specific way from the statistical physics to the regular physics
• Symbolic generation of Painlevé equations
• Isomonodromic deformations and ``antiquantization for the simplest ordinary differential equations
• Painlevé equations as classical analogues of Heun equations
• Antiquantization of deformed Heun class equations as a tool for symbolic generation of Painlevé equations
• Antiquantization, isomonodromy, and integrability
• Antiquantization of the Double Confluent Heun Equation. The Teukolsky Equation

This page was built for publication: First-order ODE systems generating confluent Heun equations