On elliptic product formulas for Jackson integrals associated with reduced root systems

DOI10.1023/A:1008629309210zbMath0918.33013MaRDI QIDQ1272892

Kazuhiko Aomoto

Publication date: 7 March 1999

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

theta functionroot systemproduct formulaJackson integrals

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80)

Related Items

Orthogonality of Macdonald polynomials with unitary parameters, Askey-Wilson type integrals associated with root systems, A theta product formula for Jackson integrals associated with root systems, Connection formula for the Jackson integral of type \(A_n\) and elliptic Lagrange interpolation, Generalizations of the \(q\)-Morris constant term identity, A bilateral extension of the $q$-Selberg integral, The importance of the Selberg integral, Convergence and asymptotic behavior of Jackson integrals associated with irreducible reduced root systems., \(q\)-difference systems for the Jackson integral of symmetric Selberg type, Another proof of Gustafson's \(C_n\)-type summation formula via `elementary' symmetric polynomials, Bailey type summation formulas associated with the root system \(F_4^{\lor}\), Hyperbolic beta integrals, From \(p\)-adic to real Grassmannians via the quantum, \(q\)-difference shift for a \(BC_{n}\)-type Jackson integral arising from `elementary' symmetric polynomials, On $BC$ type basic hypergeometric orthogonal polynomials, Bailey type summation formulas associated with the root system \(G_{2}^{\vee}\), Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions, \(q\)-Selberg integrals and Koornwinder polynomials, Derivation of q-difference equation from connection matrix for selberg type jackson integrals

Cites Work

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