17 citations · 57 across the 14 of their papers we have counts for
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Exceptional Gegenbauer polynomials via isospectral deformation
María~Ángeles García-Ferrero, David Gómez-Ullate, Robert Milson +1
We show a method to construct isospectral deformations of classical orthogonal polynomials. The construction is based on confluent Darboux transformations, and it allows to constru…
Spectral Theory of Exceptional Hermite Polynomials
David Gomez-Ullate, Yves Grandati, Robert Milson
In this paper we revisit exceptional Hermite polynomials from the point of view of spectral theory, following the work initiated by Lance Littlejohn. Adapting a result of Deift, we…
Exceptional Legendre Polynomials and Confluent Darboux Transformations
María Ángeles García-Ferrero, David Gómez-Ullate, Robert Milson
Exceptional orthogonal polynomials are families of orthogonal polynomials that arise as solutions of Sturm-Liouville eigenvalue problems. They generalize the classical families of…
The Adelic Grassmannian and Exceptional Hermite Polynomials
Alex Kasman, Robert Milson
It is shown that when dependence on the second flow of the KP hierarchy is added, the resulting semi-stationary wave function of certain points in George Wilson's adelic Grassmanni…
Corrigendum on the proof of completeness for exceptional Hermite polynomials
David Gomez-Ullate, Yves Grandati, Robert Milson
Exceptional orthogonal polynomials are complete families of orthogonal polynomials that arise as eigenfunctions of a Sturm-Liouville problem. Antonio Durán discovered a gap in the…
Shape invariance and equivalence relations for pseudowronskians of Laguerre and Jacobi polynomials
David Gomez-Ullate, Yves Grandati, Robert Milson
In a previous paper we derived equivalence relations for pseudo-Wronskian determinants of Hermite polynomials. In this paper we obtain the analogous result for Laguerre and Jacobi…