A determinant formula for a holonomic \(q\)-difference system associated with Jackson integrals of type \(BC_n\)

DOI10.1016/j.aim.2009.02.003zbMath1173.33013OpenAlexW2060680521MaRDI QIDQ1019751

Masahiko Ito, Kazuhiko Aomoto

Publication date: 28 May 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2009.02.003

zbMATH Keywords

Jackson integral of type \(BC_{n}\)symplectic Schur functionsVandermonde type determinant

Mathematics Subject Classification ID

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

An Application of Cauchy–Sylvester’s Theorem on Compound Determinants to a BC n -Type Jackson Integral ⋮ A generalization of the Sears-Slater transformation and elliptic Lagrange interpolation of type \(BC_{n}\) ⋮ A generalization of Weyl's denominator formulas for the classical groups. ⋮ Connection formula for the Jackson integral of type \(A_n\) and elliptic Lagrange interpolation ⋮ Three-term relations between interpolation polynomials for a \(BC_n\)-type basic hypergeometric series ⋮ BC_n-type Jackson integral generalized from Gustafson'sC_n-type sum ⋮ On the structure of Jackson integrals of \(BC_n\) type and holonomic \(q\)-difference equations ⋮ A compound determinant identity for rectangular matrices and determinants of Schur functions ⋮ Structure of Jackson integrals of \(BC_n\) type ⋮ On the Sears-Slater basic hypergeometric transformations ⋮ A determinant formula associated with the elliptic hypergeometric integrals of type BC n

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