Hypergeometric identities related to Ruijsenaars systems
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Publication:6087814
DOI10.1016/j.jalgebra.2023.09.033arXiv2303.07350OpenAlexW4387517029MaRDI QIDQ6087814
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Publication date: 16 November 2023
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.07350
Combinatorial identities, bijective combinatorics (05A19) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38)
Cites Work
- Theta functions, elliptic hypergeometric series, and Kawanaka's Macdonald polynomial conjecture
- Zero-eigenvalue eigenfunctions for differences of elliptic relativistic Calogero-Moser hamiltonians
- Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
- Multiple elliptic hypergeometric series. An approach from the Cauchy determinant
- Euler transformation formula for multiple basic hypergeometric series of type \(A\) and some applications
- Higher order deformed elliptic Ruijsenaars operators
- Kernel functions and Bäcklund transformations for relativistic Calogero-Moser and Toda systems
- Joint Eigenfunctions for the Relativistic Calogero–Moser Hamiltonians of Hyperbolic Type: I. First Steps
- On R-matrix identities related to elliptic anisotropic spin Ruijsenaars-Macdonald operators
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