On the structure of Jackson integrals of \(BC_n\) type and holonomic \(q\)-difference equations
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Publication:935670
DOI10.3792/pjaa.81.145zbMath1155.33010OpenAlexW2002682567MaRDI QIDQ935670
Publication date: 12 August 2008
Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3792/pjaa.81.145
Discrete version of topics in analysis (39A12) 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 \(BC_{n}\) ⋮ BCn-type Jackson integral generalized from Gustafson'sCn-type sum ⋮ On the structure of Jackson integrals of \(BC_n\) type and holonomic \(q\)-difference equations ⋮ 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
- Askey-Wilson type integrals associated with root systems
- On the structure of Jackson integrals of \(BC_n\) type and holonomic \(q\)-difference equations
- 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
- 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. II
- BCn-type Jackson integral generalized from Gustafson'sCn-type sum
- Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
- Some q-Beta and Mellin-Barnes Integrals on Compact Lie Groups and Lie Algebras
- A proof of the 𝑞-Macdonald-Morris conjecture for 𝐵𝐶_{𝑛}
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