Holonomic \(q\)-difference system of the first order associated with a Jackson integral of Selberg type
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Publication:1325171
DOI10.1215/S0012-7094-94-07319-5zbMath0801.39003MaRDI QIDQ1325171
Publication date: 1 December 1994
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Discrete version of topics in analysis (39A12) Difference operators (39A70) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)
Related Items
Gauss decomposition of connection matrices for symmetric \(A\)-type Jackson integrals ⋮ \(q\)-difference systems for the Jackson integral of symmetric Selberg type ⋮ Askey-Wilson polynomials by means of a \(q\)-Selberg type integral ⋮ Derivation of q-difference equation from connection matrix for selberg type jackson integrals ⋮ Gauss decomposition of connection matrices and application to Yang-Baxter equation. II
Cites Work
- Gauss-Manin connection of integral of difference products
- Finiteness of a cohomology associated with certain Jackson integrals
- Quantum affine algebras and holonomic difference equations
- Quantum algebra structure of certain Jackson integrals
- Holonomic \(q\)-difference system associated with the basic hypergeometric series \(_{n+1}\varphi_ n\)
- Determinants of \(q\)-hypergeometric functions and another proof of the Askey conjecture
- Analytic theory of linear \(q\)-difference equations
- HYPERGEOMETRIC-TYPE INTEGRALS AND THE $\mathfrak{sl}(2, {\rm C})$ KNIZHNIK-ZAMOLODCHIKOV EQUATION
- A Proof of Askey’s Conjectured q-Analogue of Selberg’s Integral and a Conjecture of Morris
- Connection problem in holonomicq-difference system associated with a Jackson integral of Jordan-Pochhammer type
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