Interrelations of discrete Painlevé equations through limiting procedures
- 10.1080/14029251.2020.1683981How to use a DOI?
- discrete Painlevé equations; affine Weyl groups; limiting procedures; canonical forms
We study the discrete Painlevé equations associated to the affine Weyl group which can be obtained by the implementation of a special limits of -associated equations. This study is motivated by the existence of two -associated discrete both having a double ternary dependence in their coefficients and which have not been related before. We show here that two equations correspond to two different limits of a -associated discrete Painlevé equation. Applying the same limiting procedures to other -associated equations we obtained several -related equations most of which have not been previously derived.
- © 2020 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - A. Ramani AU - B. Grammaticos AU - T. Tamizhmani PY - 2019 DA - 2019/10/25 TI - Interrelations of discrete Painlevé equations through limiting procedures JO - Journal of Nonlinear Mathematical Physics SP - 95 EP - 105 VL - 27 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2020.1683981 DO - 10.1080/14029251.2020.1683981 ID - Ramani2019 ER -