Bannai-Ito polynomials and dressing chains

Published 8 Nov 2012 in math-ph, math.CA, math.MP, and math.RA | (1211.1963v2)

Abstract: 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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