72 citations · 524 across the 41 of their papers we have counts for
Showing math.QAShow all
3 papers · 1 filter
math.QA2012★ 8 cited
Bispectral extensions of the Askey-Wilson polynomials
Plamen Iliev
Following the pioneering work of Duistermaat and Grünbaum, we call a family of polynomials bispectral, if the polynomials are simultaneously eigenfuncti…
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…