Derivation of q-difference equation from connection matrix for selberg type jackson integrals

DOI10.1080/10236199808808141zbMath0913.33009OpenAlexW2049749235MaRDI QIDQ4211791

Yoshifumi Kato, Kazuhiko Aomoto

Publication date: 7 October 1998

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236199808808141

zbMATH Keywords

Riemann-Hilbert problemdifference equationconnection matrix

Mathematics Subject Classification ID

Additive difference equations (39A10) Bibasic functions and multiple bases (33D65)

Related Items (1)

\(q\)-difference systems for the Jackson integral of symmetric Selberg type

Cites Work

• Unnamed Item
• Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system
• On elliptic product formulas for Jackson integrals associated with reduced root systems
• Quantum algebra structure of certain Jackson integrals
• Holonomic \(q\)-difference system of the first order associated with a Jackson integral of Selberg type
• Quantized Knizhnik-Zamolodchikov equations, quantum Yang-Baxter equation, and difference equations for \(q\)-hypergeometric functions
• Connection formula of symmetric \(A\)-type Jackson integrals
• Gauss decomposition of connection matrices for symmetric \(A\)-type Jackson integrals
• Multidimensional q-Beta Integrals

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