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math.CA2007★ 4 cited
Generalized Bochner theorem: characterization of the Askey-Wilson polynomials
Luc Vinet, Alexei Zhedanov
Assume that there is a set of monic polynomials satisfying the second-order difference equation $$ A(s) P_n(z(s+1)) + B(s) P_n(z(s)) + C(s) P_n(z(s-1)) = λ_n P_n(z(s)), n=…
nlin.SI2007★ 1 cited
Additional Constants of Motion for a Discretization of the Calogero--Moser Model
Hideaki Ujino, Luc Vinet, Tetsu Yajima +1
The maximal super-integrability of a discretization of the Calogero--Moser model introduced by Nijhoff and Pang is presented. An explicit formula for the additional constants of mo…