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

Socpus ID

84982976240 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84982976240

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