Projective reduction of the discrete Painlevé system of type $(A_2 + A_1)^{(1)}$
説明
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.
収録刊行物
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- MI Preprint Series
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MI Preprint Series 2009-34 2010-05-28
Oxford University Press
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詳細情報 詳細情報について
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- CRID
- 1050017057728702976
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- NII論文ID
- 120002513530
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- HANDLE
- 2324/15556
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- 本文言語コード
- en
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- 資料種別
- journal article
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- データソース種別
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- IRDB
- CiNii Articles