Projective reduction of the discrete painlevé system of type (A 2 + A1)(1)

Kenji Kajiwara, Nobutaka Nakazono, Teruhisa Tsuda

研究成果: Contribution to journalArticle査読

16 被引用数 (Scopus)

抄録

We consider the q-Painlevé III equation arising from the birational representation of the affine Weyl group of type (A2 + 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.

本文言語英語
ページ(範囲)930-966
ページ数37
ジャーナルInternational Mathematics Research Notices
2011
4
DOI
出版ステータス出版済み - 2011

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

フィンガープリント 「Projective reduction of the discrete painlevé system of type (A <sub>2</sub> + A<sub>1</sub>)<sup>(1)</sup>」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

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