49 citations · 348 across the 45 of their papers we have counts for
Showing 2011Show all
3 papers · 1 filter
math.CA2011★ 9 cited
Jordan algebras and orthogonal polynomials
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
We illustrate how Jordan algebras can provide a framework for the interpretation of certain classes of orthogonal polynomials. The big -1 Jacobi polynomials are eigenfunctions of a…
math.CA2011★ 3 cited
Dual -1 Hahn polynomials: "classical" polynomials beyond the Leonard duality
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
We introduce the -1 dual Hahn polynomials through an appropriate limit of the dual q-Hahn polynomials. These polynomials are orthogonal on a finite set of discrete point…
math.CA2011★ 21 cited
Dunkl shift operators and Bannai-Ito polynomials
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
We consider the most general Dunkl shift operator with the following properties: (i) is of first order in the shift operator and involves reflections; (ii) preserves th…