Projective reduction of the discrete Painlevé system of type $(A_2 + A_1)^{(1)}$ - Collections

＜journal article＞
Projective reduction of the discrete Painlevé system of type $(A_2 + A_1)^{(1)}$

Creator	Author PID K000794 Creator Name Kajiwara, Kenji 梶原, 健司カジワラ, ケンジ Affiliation Affiliation Name Facutly of Mathematics, Kyushu University 九州大学大学院数理学研究院
	Creator Name Nakazono, Nobutaka 中園, 信孝ナカゾノ, ノブタカ Affiliation Affiliation Name Graduate School of Mathematics, Kyushu University 九州大学大学院数理学府
	Author PID K003145 Creator Name Tsuda, Teruhisa 津田, 照久ツダ, テルヒサ Affiliation Affiliation Name Facutly of Mathematics, Kyushu University 九州大学大学院数理学研究院
Language	English
Publisher	Oxford University Press
Date	2010-05-28
Source Title	MI Preprint Series
Vol	2009-34
Publication Type	Accepted Manuscript
Access Rights	open access
Related DOI	isIdenticalTo https://doi.org/10.1093/imrn/rnq089
Related DOI	International Mathematics Research Notices \|\| 2010-20
Related DOI	http://www.math.kyushu-u.ac.jp/
Related URI	International Mathematics Research Notices \|\| 2010-20
Related URI	http://www.math.kyushu-u.ac.jp/
Related URI
Related HDL
Relation	International Mathematics Research Notices \|\| 2010-20
Relation	http://www.math.kyushu-u.ac.jp/
Abstract	We consider the q-Painlevé III equation arising from the birational representation of the affine Weyl group of type $(A_2 + A_1)^{(1)}$. We study the reduction of the q-Painlevé III equation to the q-...Painlevé II equation from the viewpoint of affine Weyl group symmetry. In particular, the mechanism of apparent inconsistency between the hypergeometric solutions to both equations is clarified by using factorization of difference operators and the τ functions.show more

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Record ID	15556
Peer-Reviewed	Refereed
Subject Terms	affine Weyl group
	discrete Painlev equation
	hypergeometric function
Notes	MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry
Notes	グローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」
Type	学術雑誌論文
Created Date	2010.10.29
Modified Date	2024.01.10

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＜journal article＞ Projective reduction of the discrete Painlevé system of type $(A_2 + A_1)^{(1)}$

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＜journal article＞
Projective reduction of the discrete Painlevé system of type $(A_2 + A_1)^{(1)}$