Connection formula of symmetric \(A\)-type Jackson integrals
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Publication:1331691
DOI10.1215/S0012-7094-94-07406-1zbMath0802.33016MaRDI QIDQ1331691
Kazuhiko Aomoto, Yoshifumi Kato
Publication date: 25 August 1994
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Related Items (9)
Gauss decomposition of connection matrices for symmetric \(A\)-type Jackson integrals ⋮ On a theta product formula for Jackson integrals associated with root systems of rank two ⋮ Connection formula for the Jackson integral of type \(A_n\) and elliptic Lagrange interpolation ⋮ A bilateral extension of the $q$-Selberg integral ⋮ The \(q\)-Dixon-Anderson integral and multi-dimensional \(_1\psi_1\) summations ⋮ A solution to quantum Knizhnik-Zamolodchikov equations and its application to eigenvalue problems of the Macdonald type ⋮ On elliptic product formulas for Jackson integrals associated with reduced root systems ⋮ Derivation of q-difference equation from connection matrix for selberg type jackson integrals ⋮ Gauss decomposition of connection matrices and application to Yang-Baxter equation. I
Cites Work
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- Quantum affine algebras and holonomic difference equations
- Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system
- Jackson integrals of Jordan-Pochhammer type and quantum Knizhnik-Zamolodchikov equations
- Quantum algebra structure of certain Jackson integrals
- Gauss matrix decomposition and a solution of the Yang-Baxter equation
- Quantized Knizhnik-Zamolodchikov equations, quantum Yang-Baxter equation, and difference equations for \(q\)-hypergeometric functions
- On a theta product formula for the symmetric \(A\)-type connection function
- Connection problem in holonomicq-difference system associated with a Jackson integral of Jordan-Pochhammer type
- On Connection Coefficients forq-Difference Systems ofA-Type Jackson Integrals
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