Basic properties of non-stationary Ruijsenaars functions

DOI10.3842/SIGMA.2020.105zbMath1456.81210arXiv2006.07171OpenAlexW3034416747MaRDI QIDQ2223041

Edwin Langmann, Masatoshi Noumi, Jun'ichi Shiraishi

Publication date: 28 January 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07171

zbMATH Keywords

elliptic integrable systemselliptic hypergeometric functionsRuijsenaars systems

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Other functions coming from differential, difference and integral equations (33E30) Special families of functions of several complex variables (32A17) Special quantum systems, such as solvable systems (81Q80)

Related Items (6)

Construction of eigenfunctions for the elliptic Ruijsenaars difference operators ⋮ Higher order deformed elliptic Ruijsenaars operators ⋮ Non-stationary difference equation and affine Laumon space: quantization of discrete Painlevé equation ⋮ Macdonald duality and the proof of the quantum Q-system conjecture ⋮ Non-stationary Ruijsenaars functions for \(\kappa = t^{-1/N}\) and intertwining operators of Ding-Iohara-Miki algebra ⋮ Super-Macdonald polynomials: orthogonality and Hilbert space interpretation

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