An affine Weyl group action on the basic hypergeometric series arising from the \(q\)-Garnier system

DOI10.1007/s11005-022-01613-3OpenAlexW4310081342MaRDI QIDQ2103393

Takao Suzuki, Taiki Idomoto

Publication date: 13 December 2022

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.03185

zbMATH Keywords

affine Weyl groupdiscrete Painlevé equationbasic hypergeometric seriesGarnier system

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Applications of Lie algebras and superalgebras to integrable systems (17B80) Difference equations, scaling ((q)-differences) (39A13) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (1)

On additional symmetry and bilinearization of the \(q\)-Painlevé systems associated with the affine Weyl group of type \(A\)

Cites Work

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• A q-Analog of the Garnier System
• Variations of theq-Garnier system
• Generalizedq-Painlevé VI Systems of Type (A2n+1+A1+A1)(1) Arising From Cluster Algebra
• A certain generalization of $q$-hypergeometric functions and their related monodromy preserving deformation
• Study of <i>q</i>-Garnier System by Padé Method
• Summations and Transformations for Basic Appell Series

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