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arxiv: 1211.1963 · v2 · pith:DGNBQ2GUnew · submitted 2012-11-08 · 🧮 math-ph · math.CA· math.MP· math.RA

Bannai-Ito polynomials and dressing chains

classification 🧮 math-ph math.CAmath.MPmath.RA
keywords polynomialsbannai-itomapschainsdressingalgebrasarisecomplementary
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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 the framework of the SDG maps.

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