Bispectrality and biorthogonality of the rational functions of q-Hahn type
We introduce families of rational functions that are biorthogonal with respect to the q-
hypergeometric distribution. A triplet of q-difference operators X, Y, Z is shown to play a role …
hypergeometric distribution. A triplet of q-difference operators X, Y, Z is shown to play a role …
Para-Bannai-Ito polynomials
J Pelletier, L Vinet, A Zhedanov - SIGMA. Symmetry, Integrability and …, 2023 - emis.de
New bispectral polynomials orthogonal on a Bannai-Ito bi-lattice (uniform quadri-lattice) are
obtained from an unconventional truncation of the untruncated Bannai-Ito and …
obtained from an unconventional truncation of the untruncated Bannai-Ito and …
− 1 polynômes orthogonaux
J Pelletier - 2023 - papyrus.bib.umontreal.ca
Ce mémoire est composé de deux articles qui ont pour but commun de lever le voile et de
compléter le schéma d'Askey des q–polynômes orthogonaux dans la limite q=− 1. L'objectif …
compléter le schéma d'Askey des q–polynômes orthogonaux dans la limite q=− 1. L'objectif …
Orthogonal polynomials and the deformed Jordan plane
A Beaudoin, G Bergeron, A Brillant, J Gaboriaud… - Journal of Mathematical …, 2022 - Elsevier
We consider the unital associative algebra A with two generators X, Z obeying the defining
relation [Z, X]= Z 2+ Δ. We construct irreducible tridiagonal representations of A. Depending …
relation [Z, X]= Z 2+ Δ. We construct irreducible tridiagonal representations of A. Depending …