A determinant formula associated with the elliptic hypergeometric integrals of type BC n
DOI10.1063/1.5094116zbMath1426.39009arXiv1902.10533OpenAlexW3103105267MaRDI QIDQ5228054
Publication date: 8 August 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.10533
Other functions coming from differential, difference and integral equations (33E30) Difference equations, scaling ((q)-differences) (39A13) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Elliptic integrals as hypergeometric functions (33C75)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Derivation of a \(BC_n\) elliptic summation formula via the fundamental invariants
- Three-term relations between interpolation polynomials for a \(BC_n\)-type basic hypergeometric series
- A compound determinant identity for rectangular matrices and determinants of Schur functions
- Determinants of elliptic hypergeometric integrals
- \(BC_n\)-symmetric abelian functions
- Kernel functions for difference operators of Ruijsenaars type and their applications
- A determinant formula for a holonomic \(q\)-difference system associated with Jackson integrals of type \(BC_n\)
- \(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
- Finiteness of a cohomology associated with certain Jackson integrals
- Combinatorial formula for Macdonald polynomials and generic Macdonald polynomials.
- \(q\)-difference shift for a \(BC_{n}\)-type Jackson integral arising from `elementary' symmetric polynomials
- A generalization of the Sears-Slater transformation and elliptic Lagrange interpolation of type \(BC_{n}\)
- q-analogue of de Rham cohomology associated with Jackson integrals. I
- A generalization of Selberg’s beta integral
- Projection Formulas, a Reproducing Kernel and a Generating Function for q-Wilson Polynomials
- Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
- Some q-Beta Integrals on $SU(n)$ and $Sp(n)$ That Generalize the Askey–Wilson and Nasrallah–Rahman Integrals
- Evaluation of the $BC_n$ elliptic Selberg integral via the fundamental invariants
- Self-dual Koornwinder-Macdonald polynomials
This page was built for publication: A determinant formula associated with the elliptic hypergeometric integrals of type BC n