3 papers
math.CA2019
Convolution identities for Dunkl orthogonal polynomials from the Lie superalgebra
Erik Koelink, Jean-Michel Lemay, Luc Vinet
New convolution identities for orthogonal polynomials belonging to the analog of the Askey-scheme are obtained. A specialization of the Chihara polynomials will play a centr…
math.CA2018
Bivariate Bannai-Ito polynomials
Jean-Michel Lemay, Luc Vinet
A two-variable extension of the Bannai-Ito polynomials is presented. They are obtained via limits of the bivariate -Racah and Askey-Wilson orthogonal polynomials introd…
math.CA2017
A -generalization of the para-Racah polynomials
Jean-Michel Lemay, Luc Vinet, Alexei Zhedanov
New bispectral orthogonal polynomials are obtained from an unconventional truncation of the Askey-Wilson polynomials. In the limit , they reduce to the para-Racah polynomi…