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

IR (HANDLE) Open Access

Description

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.

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Keywords

Details 詳細情報について

  • CRID
    1050017057728702976
  • NII Article ID
    120002513530
  • HANDLE
    2324/15556
  • Text Lang
    en
  • Article Type
    journal article
  • Data Source
    • IRDB
    • CiNii Articles

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