Bispectrality of the Complementary Bannai-Ito Polynomials

Bispectrality of the Complementary Bannai-Ito Polynomials

A one-parameter family of operators that have the complementary Bannai-Ito (CBI) polynomials as eigenfunctions is obtained. The CBI polynomials are the kernel partners of the Bannai-Ito polynomials and also correspond to a q→−1 limit of the Askey-Wilson polynomials. The eigenvalue equations for the...

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Bibliographic Details
Main Authors: Vincent X. Genest, Luc Vinet, Alexei Zhedanov
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2013-03-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
nai-Ito polynomials
quadratic algebras
Dunkl operators
Online Access:http://dx.doi.org/10.3842/SIGMA.2013.018

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