1.6k citations · 3.2k across the 120 of their papers we have counts for
9 papers · 1 filter
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 Bannai-Ito algebra and some applications
Hendrik De Bie, Vincent X. Genest, Satoshi Tsujimoto +2
The Bannai-Ito algebra is presented together with some of its applications. Its relations with the Bannai-Ito polynomials, the Racah problem for the algebra, a superin…
Spin lattices, state transfer and bivariate Krawtchouk polynomials
Vincent X. Genest, Hiroshi Miki, Luc Vinet +1
The quantum state transfer properties of a class of two-dimensional spin lattices on a triangular domain are investigated. Systems for which the 1-excitation dynamics is exactly so…
-Rotations and Krawtchouk polynomials
Vincent X. Genest, Sarah Post, Luc Vinet +2
An algebraic interpretation of the one-variable quantum -Krawtchouk polynomials is provided in the framework of the Schwinger realization of involving…
Toda-Schrödinger correspondence and orthogonal polynomials
Satoshi Tsujimoto, Alexei Zhedanov
It is known that the unrestricted Toda chain is equivalent to the Riccati equation for the Stieltjes function of the orthogonal polynomials. Under a special condition, this Riccati…
Umbral "classical" polynomials
Alexei Zhedanov
We study the umbral "classical" orthogonal polynomials with respect to a generalized derivative operator which acts on monomials as with some…