49 citations · 348 across the 45 of their papers we have counts for
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Tridiagonal representations of the q-oscillator algebra and Askey-Wilson polynomials
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
A construction is given of the most general representations of the q-oscillator algebra where both generators are tridiagonal. It is shown to be connected to the Askey-Wilson polyn…
Generating functions for the Bannai-Ito polynomials
Geoffroy Bergeron, Luc Vinet, Satoshi Tsujimoto
The generating function of the Bannai-Ito polynomials is derived using the fact that these polynomials are known to be essentially the Racah or coefficients of the $\mathfrak{…
Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials
Vincent X. Genest, Satoshi Tsujimoto, Luc Vinet +1
Persymmetric Jacobi matrices are invariant under reflection with respect to the anti-diagonal. The associated orthogonal polynomials have distinctive properties that are discussed.…