A bilateral extension of the $q$-Selberg integral
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Publication:2951921
DOI10.1090/tran/6851zbMath1360.33016arXiv1309.0001OpenAlexW3103332215MaRDI QIDQ2951921
Masahiko Ito, Peter J. Forrester
Publication date: 10 January 2017
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.0001
connection formulaeAomoto's methodAskey-Evans's Selberg integralKnop-Sahi's shifted symmetric polynomials
Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference equations, scaling ((q)-differences) (39A13) Basic hypergeometric functions associated with root systems (33D67)
Related Items (6)
Evaluation of the $BC_n$ elliptic Selberg integral via the fundamental invariants ⋮ Connection formula for the Jackson integral of type \(A_n\) and elliptic Lagrange interpolation ⋮ \(q\)-difference systems for the Jackson integral of symmetric Selberg type ⋮ Macdonald-level extension of beta ensembles and large-\(N\) limit transition ⋮ Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions ⋮ \(q\)-Selberg integrals and Koornwinder polynomials
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