Complex hypergeometric functions and integrable many-body problems
Mathematical Physics
2022-09-07 v2 Classical Analysis and ODEs
math.MP
Exactly Solvable and Integrable Systems
Abstract
General reduction of the elliptic hypergeometric equation to the level of complex hypergeometric functions is described. The derived equation is generalized to the Hamiltonian eigenvalue problem for new rational integrable -body systems emerging from particular degenerations of the elliptic Ruijsenaars and van Diejen models.
Keywords
Cite
@article{arxiv.2105.15031,
title = {Complex hypergeometric functions and integrable many-body problems},
author = {G. A. Sarkissian and V. P. Spiridonov},
journal= {arXiv preprint arXiv:2105.15031},
year = {2022}
}
Comments
22 pp., published version