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

DOI10.3842/sigma.2023.037arXiv2209.02227MaRDI QIDQ6115284

Yumi Arai, Kouichi Takemura

Publication date: 12 July 2023

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

Full work available at URL: https://arxiv.org/abs/2209.02227

zbMATH Keywords

hypergeometric functionmiddle convolution\(q\)-integral\(q\)-hypergeometric equation

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference equations, scaling ((q)-differences) (39A13)

Related Items (1)

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

Cites Work

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• Variants of confluent \(q\)-hypergeometric equations
• \(q\)-middle convolution and \(q\)-Painlevé equation
• Middle convolution of Fuchsian systems and the construction of rigid differential systems
• Connection problem in holonomicq-difference system associated with a Jackson integral of Jordan-Pochhammer type
• Spectral Types of Linear $q$-Difference Equations and $q$-Analog of Middle Convolution
• Rigid Local Systems. (AM-139)
• Variants of <i>q</i>-Hypergeometric Equation
• Linear Differential Equations in the Complex Domain
• An algorithm of Katz and its application to the inverse Galois problem.

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