Doubling (Dual) Hahn Polynomials: Classification and Applications

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Authors: Oste, R., Van der Jeugt, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147422
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Doubling (Dual) Hahn Polynomials: Classification and Applications / R. Oste, J. Van der Jeugt // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 32 назв. — англ.

We classify all pairs of recurrence relations in which two Hahn or dual Hahn polynomials with different parameters appear. Such couples are referred to as (dual) Hahn doubles. The idea and interest comes from an example appearing in a finite oscillator model [Jafarov E.I., Stoilova N.I., Van der Jeu...