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

Kenji Kajiwara, Nobutaka Nakazono, Teruhisa Tsuda

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)930-966
Number of pages37
JournalInternational Mathematics Research Notices
Volume2011
Issue number4
DOIs
Publication statusPublished - Mar 7 2011

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Discrete Systems
Affine Weyl Groups
Difference Operator
Inconsistency
Factorization
Symmetry

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Projective reduction of the discrete painlevé system of type (A 2 + A1)(1). / Kajiwara, Kenji; Nakazono, Nobutaka; Tsuda, Teruhisa.

In: International Mathematics Research Notices, Vol. 2011, No. 4, 07.03.2011, p. 930-966.

Research output: Contribution to journalArticle

Kajiwara, Kenji ; Nakazono, Nobutaka ; Tsuda, Teruhisa. / Projective reduction of the discrete painlevé system of type (A 2 + A1)(1). In: International Mathematics Research Notices. 2011 ; Vol. 2011, No. 4. pp. 930-966.
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