BCn-type Jackson integral generalized from Gustafson'sCn-type sum

DOI10.1080/10236190701776043zbMath1155.33009OpenAlexW2103310731MaRDI QIDQ3534868

Masahiko Ito, Kazuhiko Aomoto

Publication date: 5 November 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190701776043

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 (8)

An Application of Cauchy–Sylvester’s Theorem on Compound Determinants to a BC n -Type Jackson Integral ⋮ Determinants of elliptic hypergeometric integrals ⋮ A generalization of Weyl's denominator formulas for the classical groups. ⋮ 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 ⋮ A determinant formula for a holonomic \(q\)-difference system associated with Jackson integrals of type \(BC_n\) ⋮ On the Sears-Slater basic hypergeometric transformations

Cites Work

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• Askey-Wilson type integrals associated with root systems
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• Structure of Jackson integrals of \(BC_n\) type
• A determinant formula for a holonomic \(q\)-difference system associated with Jackson integrals of type \(BC_n\)
• On certain multiple Bailey, Rogers and Dougall type summation formulas
• Convergence and asymptotic behavior of Jackson integrals associated with irreducible reduced root systems.
• Another proof of Gustafson's \(C_n\)-type summation formula via `elementary' symmetric polynomials
• \(q\)-difference shift for a \(BC_{n}\)-type Jackson integral arising from `elementary' symmetric polynomials
• q-analogue of de Rham cohomology associated with Jackson integrals. I
• A MULTIPLE GENERALIZATION OF SLATER'S TRANSFORMATION FORMULA FOR A VERY-WELL-POISED-BALANCED 2r 2r SERIES
• Some q-Beta and Mellin–Barnes Integrals with Many Parameters Associated to the Classical Groups
• Some q-Beta and Mellin-Barnes Integrals on Compact Lie Groups and Lie Algebras

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