Evaluation of the $BC_n$ elliptic Selberg integral via the fundamental invariants
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Publication:5298192
DOI10.1090/proc/13234zbMath1357.33020arXiv1504.07317OpenAlexW3104434645MaRDI QIDQ5298192
Publication date: 14 December 2016
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.07317
Difference equations, scaling ((q)-differences) (39A13) Other basic hypergeometric functions and integrals in several variables (33D70)
Related Items (6)
Determinantal elliptic Selberg integrals ⋮ Elliptic extension of Gustafson's \(q\)-integral of type \(G_2\) ⋮ Elliptic determinantal processes and elliptic Dyson models ⋮ AFLT-type Selberg integrals ⋮ A determinant formula associated with the elliptic hypergeometric integrals of type BC n ⋮ Eigenfunctions of the van Diejen model generated by gauge and integral transformations
Cites Work
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- The \(q\)-Dixon-Anderson integral and multi-dimensional \(_1\psi_1\) summations
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- Three-term relations between interpolation polynomials for a \(BC_n\)-type basic hypergeometric series
- \(BC_n\)-symmetric abelian functions
- Transformations of elliptic hypergeometric integrals
- Short proofs of the elliptic beta integrals
- A generalization of the Sears-Slater transformation and elliptic Lagrange interpolation of type \(BC_{n}\)
- A bilateral extension of the $q$-Selberg integral
- A generalization of Selberg’s beta integral
- A Short Proof of Selberg’s Generalized Beta Formula
- Projection Formulas, a Reproducing Kernel and a Generating Function for q-Wilson Polynomials
- Jacobi Polynomials Associated with Selberg Integrals
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