178 citations · 609 across the 31 of their papers we have counts for
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math-ph2013★ 6 cited
Exceptional orthogonal polynomials and generalized Schur polynomials
Yves Grandati
We show that the exceptional orthogonal polynomials can be viewed as confluent limits of the generalized Schur polynomials introduced by Sergeev and Veselov.
nlin.SI2013★ 61 cited
Extended Krein-Adler theorem for the translationally shape invariant potentials
David Gómez-Ullate, Yves Grandati, Robert Milson
Considering successive extensions of primary translationally shape invariant potentials, we enlarge the Krein-Adler theorem to mixed chains of state adding and state-deleting Darbo…
math-ph2013★ 178 cited
Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials
David Gomez-Ullate, Yves Grandati, Robert Milson
We prove that every rational extension of the quantum harmonic oscillator that is exactly solvable by polynomials is monodromy free, and therefore can be obtained by applying a fin…