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math.CA2016
Durfee rectangles and pseudo-Wronskian equivalences for Hermite polynomials
David Gomez-Ullate, Yves Grandati, Robert Milson
We study an equivalence class of iterated rational Darboux transformations applied on the harmonic oscillator, showing that many choices of state adding and state deleting transfor…
math.CA2016★ 21 cited
A Bochner type classification theorem for exceptional orthogonal polynomials
M. Ángeles García-Ferrero, David Gómez-Ullate, Robert Milson
It was recently conjectured that every system of exceptional orthogonal polynomials is related to classical orthogonal polynomials by a sequence of Darboux transformations. In this…