Four-dimensional Painlev\'e-type difference equations
Classical Analysis and ODEs
2021-12-07 v2 Mathematical Physics
math.MP
Abstract
We focus on Fuchsian equations with four accessory parameters and three singular points. We see that the Fuchsian equations admit a "degeneration scheme" in some sense, which is expected to give rise to a degeneration scheme of discrete isomodromic deformation equations with four-dimensional phase space. We compute an example of discrete isomonodromic deformation equations of a certain Fuchsian equation.
Cite
@article{arxiv.1802.00116,
title = {Four-dimensional Painlev\'e-type difference equations},
author = {Hiroshi Kawakami},
journal= {arXiv preprint arXiv:1802.00116},
year = {2021}
}
Comments
21 pages