# Basic Properties of Non-Stationary Ruijsenaars Functions

@article{Langmann2020BasicPO,
title={Basic Properties of Non-Stationary Ruijsenaars Functions},
author={Edwin Langmann and Masatoshi Noumi and Jun'ichi Shiraishi},
journal={Symmetry Integrability and Geometry-methods and Applications},
year={2020},
volume={16},
pages={105}
}
• Published 12 June 2020
• Mathematics
• Symmetry Integrability and Geometry-methods and Applications
For any variable number, a non-stationary Ruijsenaars function was recently introduced as a natural generalization of an explicitly known asymptotically free solution of the trigonometric Ruijsenaars model, and it was conjectured that this non-stationary Ruijsenaars function provides an explicit solution of the elliptic Ruijsenaars model. We present alternative series representations of the non-stationary Ruijsenaars functions, and we prove that these series converge. We also introduce novel…
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