Title
Tridiagonalization Of The Hypergeometric Operator And The Racah–Wilson Algebra
Abstract
The algebraic underpinning of the tridiagonalization procedure is investigated. The focus is put on the tridiagonalization of the hypergeometric operator and its associated quadratic Jacobi algebra. It is shown that under tridiagonalization, the quadratic Jacobi algebra becomes the quadratic Racah–Wilson algebra associated to the generic Racah–Wilson polynomials. A degenerate case leading to the Hahn algebra is also discussed.
Publication Date
10-1-2016
Publication Title
Proceedings of the American Mathematical Society
Volume
144
Issue
10
Number of Pages
4441-4454
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1090/proc/13082
Copyright Status
Unknown
Socpus ID
84982976240 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84982976240
STARS Citation
Genest, Vincent X.; Ismail, Mourad E.H.; Vinet, Luc; and Zhedanov, Alexei, "Tridiagonalization Of The Hypergeometric Operator And The Racah–Wilson Algebra" (2016). Scopus Export 2015-2019. 3255.
https://stars.library.ucf.edu/scopus2015/3255