16 citations · 49 across the 7 of their papers we have counts for
9 papers
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…
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…
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…
A superintegrable model with reflections on and the higher rank Bannai-Ito algebra
Hendrik De Bie, Vincent X. Genest, Jean-Michel Lemay +1
A quantum superintegrable model with reflections on the -sphere is presented. Its symmetry algebra is identified with the higher rank generalization of the Bannai-Ito algebr…
A superintegrable model with reflections on and the rank two Bannai-Ito algebra
Hendrik De Bie, Vincent X. Genest, Jean-Michel Lemay +1
A quantum superintegrable model with reflections on the three-sphere is presented. Its symmetry algebra is identified with the rank-two Bannai-Ito algebra. It is shown that the Ham…
The para-Racah polynomials
Jean-Michel Lemay, Luc Vinet, Alexei Zhedanov
New bispectral polynomials orthogonal on a quadratic bi-lattice are obtained from a truncation of Wilson polynomials. Recurrence relation and difference equation are provided. The…
A novel analytic spin chain model with fractional revival
Jean-Michel Lemay, Luc Vinet, Alexei Zhedanov
New analytic spin chains with fractional revival are introduced. Their nearest-neighbor couplings and local magnetic fields correspond to the recurrence coefficients of para-Racah…
Two-variable Jacobi polynomials
Vincent X. Genest, Jean-Michel Lemay, Luc Vinet +1
A two-variable generalization of the Big Jacobi polynomials is introduced and characterized. These bivariate polynomials are constructed as a coupled product of two univariate…
The Hahn superalgebra and supersymmetric Dunkl oscillator models
Vincent X. Genest, Jean-Michel Lemay, Luc Vinet +1
A supersymmetric extension of the Hahn algebra is introduced. This quadratic superalgebra, which we call the Hahn superalgebra, is constructed using the realization provided by the…