A ''Continuous'' Limit of the Complementary Bannai-Ito Polynomials: Chihara Polynomials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Genest, V.X., Vinet, L., Zhedanov, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146825
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A ''Continuous'' Limit of the Complementary Bannai-Ito Polynomials: Chihara Polynomials / V.X. Genest, L. Vinet, A. Zhedanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 25 назв. — англ.

A novel family of −1 orthogonal polynomials called the Chihara polynomials is characterized. The polynomials are obtained from a ''continuous'' limit of the complementary Bannai-Ito polynomials, which are the kernel partners of the Bannai-Ito polynomials. The three-term recurrenc...