From Heun class equations to Painlevé equations

DOI10.3842/SIGMA.2021.056zbMath1471.34169arXiv2007.05698OpenAlexW3041706749MaRDI QIDQ2035745

Jan Dereziński, Adam Latosiński, A. M. Ishkhanyan

Publication date: 25 June 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05698

zbMATH Keywords

Painlevé equationsHeun class equations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items (max. 100)

Special functions emerging from symmetries of the space of solutions to special double confluent Heun equation

Cites Work

• Hypergeometric type functions and their symmetries
• Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients
• Exactly solvable Schrödinger operators
• Monodromy problem and the boundary condition for some Painlevé equations
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• On the derivatives of the Heun functions
• Group-theoretical origin of symmetries of hypergeometric class equations and functions
• A coalescent diagram of the Painlevé equations from the viewpoint of isomonodromic deformations
• The 192 solutions of the Heun equation
• New solutions of Heun s general equation
• On Some Hamiltonian Properties of the Isomonodromic Tau Functions
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