Solutions to discrete Painlevé systems arising from two types of orthogonal polynomials - Collections

＜research report＞
Solutions to discrete Painlevé systems arising from two types of orthogonal polynomials

Creator	Author PID L003888 Creator Name Nakazono, Nobutaka 中園, 信孝ナカゾノ, ノブタカ Affiliation Affiliation Name Faculty of Mathematics, Kyushu University 九州大学大学院数理学府
Language	English
Publisher	九州大学応用力学研究所
Publisher	Research Institute for Applied Mechanics, Kyushu University
Date	2013-03
Source Title	RIAM Symposium
Vol	24AO-S3
Issue	5
First Page	35
Last Page	41
Publication Type	Version of Record
Access Rights	open access
JaLC DOI	https://doi.org/10.15017/27165
Related DOI	九州大学応用力学研究所研究集会報告 \|\| 24AO-S3 \|\| p35-41
	Report of RIAM Symposium \|\| 24AO-S3 \|\| p35-41
	http://www.riam.kyushu-u.ac.jp/
Related URI	九州大学応用力学研究所研究集会報告 \|\| 24AO-S3 \|\| p35-41
	Report of RIAM Symposium \|\| 24AO-S3 \|\| p35-41
	http://www.riam.kyushu-u.ac.jp/
Relation	九州大学応用力学研究所研究集会報告 \|\| 24AO-S3 \|\| p35-41
	Report of RIAM Symposium \|\| 24AO-S3 \|\| p35-41
	http://www.riam.kyushu-u.ac.jp/
Abstract	We consider the relation between discrete Painleve systems and orthogonal polynomials associated with the Christoffel transformation. We construct a method to obtain the particular solutions to discre...te Painleve systems by using orthogonal polynomials and their kernel polynomials. In particular, we treat the cases of the Hermite polynomials and the discrete q-Hermite II polynomials as examples.show more

File	FileType	Size	Views	Description
Article_No_05	pdf	98.7 KB	212

Record ID	27165
Peer-Reviewed	Unrefereed
Notes	九州大学応用力学研究所研究集会報告 No.23AO-S7 「非線形波動研究の進展 : 現象と数理の相互作用」
Notes	Report of RIAM Symposium No.23AO-S7 Progress in nonlinear wave : interaction between experimental and mathematical aspects
Type	研究報告書
Created Date	2013.08.27
Modified Date	2020.09.30