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math.CA2020★ 13 cited
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…
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…