Запис Детальніше

Bispectrality of the Complementary Bannai-Ito Polynomials

Vernadsky National Library of Ukraine

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Поле Співвідношення
 
Title Bispectrality of the Complementary Bannai-Ito Polynomials
 
Creator Genest, V.X.
Vinet, L.
Zhedanov, A.
 
Description 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 CBI polynomials are found to involve second order Dunkl shift operators with reflections and exhibit quadratic spectra. The algebra associated to the CBI polynomials is given and seen to be a deformation of the Askey-Wilson algebra with an involution. The relation between the CBI polynomials and the recently discovered dual −1 Hahn and para-Krawtchouk polynomials, as well as their relation with the symmetric Hahn polynomials, is also discussed.
 
Date 2019-02-19T19:01:13Z
2019-02-19T19:01:13Z
2013
 
Type Article
 
Identifier Bispectrality of the Complementary Bannai-Ito Polynomials / V.X. Genest, L. Vinet, A. Zhedanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 31 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 33C02; 16G02
DOI: http://dx.doi.org/10.3842/SIGMA.2013.018
http://dspace.nbuv.gov.ua/handle/123456789/149225
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України