\(q\)-middle convolution and \(q\)-Painlevé equation

DOI10.3842/SIGMA.2022.056MaRDI QIDQ2162658

Shoko Sasaki, Shun Takagi, Kouichi Takemura

Publication date: 8 August 2022

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

Full work available at URL: https://arxiv.org/abs/2201.03960

zbMATH Keywords

integral transformationmiddle convolution\(q\)-Painlevé equation\(q\)-Heun equation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Difference equations, scaling ((q)-differences) (39A13) Lamé, Mathieu, and spheroidal wave functions (33E10)

Related Items

On \(q\)-middle convolution and \(q\)-hypergeometric equations

Cites Work

• Unnamed Item
• On \(q\)-deformations of the Heun equation
• Middle convolution and Heun's equation
• Rational surfaces associated with affine root systems and geometry of the Painlevé equations
• A \(q\)-analog of the sixth Painlevé equation
• Middle convolution of Fuchsian systems and the construction of rigid differential systems
• Integral representation of solutions to Fuchsian system and Heun's equation
• Geometric aspects of Painlevé equations
• Spectral Types of Linear $q$-Difference Equations and $q$-Analog of Middle Convolution
• Degenerations of Ruijsenaars–van Diejen operator and q-Painlevé equations
• Rigid Local Systems. (AM-139)
• 𝑞-Heun equation and initial-value space of 𝑞-Painlevé equation
• An algorithm of Katz and its application to the inverse Galois problem.
• On \(q\)-middle convolution and \(q\)-hypergeometric equations

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