Elliptic Integrable Systems and Special Functions
Mathematical Physics
2024-08-13 v1 math.MP
Abstract
We discuss elliptic quantum Calogero-Moser-Sutherland models, including their relativistic generalizations due to Ruijsenaars and van Diejen, and the relations of these models to classes of special functions developed and explored in recent and on-going research efforts. We give an introduction to these models and corresponding special functions aimed at non-experts. We also describe a few open problems in the field.
Cite
@article{arxiv.2408.05821,
title = {Elliptic Integrable Systems and Special Functions},
author = {Martin Hallnäs and Edwin Langmann},
journal= {arXiv preprint arXiv:2408.05821},
year = {2024}
}
Comments
31 pages. Invited contribution to the 2nd edition of the Encyclopedia of Mathematical Physics