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

Kenji Kajiwara; Nobutaka Nakazono; Teruhisa Tsuda

doi:10.1093/imrn/rnq089

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

Kenji Kajiwara, Nobutaka Nakazono, Teruhisa Tsuda

応用理論研究部門

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

18 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
巻	2011
号	4
DOI	https://doi.org/10.1093/imrn/rnq089
出版ステータス	出版済み - 2011

!!!All Science Journal Classification (ASJC) codes

数学 (全般)

文献へのアクセス

10.1093/imrn/rnq089

他のファイルとリンク

引用スタイル

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