24 citations · 52 across the 5 of their papers we have counts for
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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-ph2011★ 9 cited
Representations of the Schrödinger group and matrix orthogonal polynomials
Luc Vinet, Alexei Zhedanov
The representations of the Schrödinger group in one space dimension are explicitly constructed in the basis of the harmonic oscillator states. These representations are seen to inv…