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math.QA2008★ 3 cited
Trigonometric Darboux transformations and Calogero-Moser matrices
Luc Haine, Emil Horozov, Plamen Iliev
We characterize in terms of Darboux transformations the spaces in the Segal-Wilson rational Grassmannian, which lead to commutative rings of differential operators having coefficie…
math.QA2002★ 30 cited
Askey-Wilson Type Functions, With Bound States
Luc Haine, Plamen Iliev
The two linearly independent solutions of the three-term recurrence relation of the associated Askey-Wilson polynomials, found by Ismail and Rahman in [22], are slightly modified s…