Bannai-Ito polynomials and dressing chains

Preprint English OPEN
Derevyagin, Maxim; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei;
(2012)
  • Subject: Mathematical Physics | Mathematics - Rings and Algebras | Mathematics - Classical Analysis and ODEs | 42C05 (Primary) 17B80, 33C45, 47B36 (Secondary)
    arxiv: Nuclear Theory | Computer Science::Computational Geometry | Mathematics::Combinatorics | Mathematics::Probability

Schur-Delsarte-Genin (SDG) maps and Bannai-Ito polynomials are studied. SDG maps are related to dressing chains determined by quadratic algebras. The Bannai-Ito polynomials and their kernel polynomials -- the complementary Bannai-Ito polynomials -- are shown to arise in... View more
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