On a theta product formula for the symmetric \(A\)-type connection function

zbMath0822.33011MaRDI QIDQ1804701

Kazuhiko Aomoto

Publication date: 15 May 1995

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

algebraic torus\(A\)-type Jackson integralsgeneralized alternating sumtheta rational functions

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

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Connection formula of symmetric \(A\)-type Jackson integrals ⋮ Gauss decomposition of connection matrices for symmetric \(A\)-type Jackson integrals ⋮ The importance of the Selberg integral ⋮ $q$-Selberg integrals and Macdonald polynomials ⋮ On elliptic product formulas for Jackson integrals associated with reduced root systems ⋮ Gauss decomposition of connection matrices and application to Yang-Baxter equation. I