Duality in elliptic Ruijsenaars system and elliptic symmetric functions

Abstract We demonstrate that the symmetric elliptic polynomials $$E_\lambda (x)$$ E λ ( x ) originally discovered in the study of generalized Noumi–Shiraishi functions are eigenfunctions of the elliptic Ruijsenaars–Schneider (eRS) Hamiltonians that act on the mother function variable $$y_i$$ y i (su...

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Bibliographic Details
Main Authors: A. Mironov, A. Morozov, Y. Zenkevich
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-09248-9