TY - JOUR AU - García Ferrero, María Ángeles AU - Gómez-Ullate Oteiza, David AU - Milson, Robert PY - 2019 DO - 10.1016/j.jmaa.2018.11.042 SN - 0022-247X UR - https://hdl.handle.net/20.500.14352/13153 T2 - Journal of mathematical analysis and applications AB - It was recently conjectured that every system of exceptional orthogonal polynomials is related to a classical orthogonal polynomial system by a sequence of Darboux transformations. In this paper we prove this conjecture, which paves the road to a... LA - eng M2 - 584 PB - Elsevier science KW - Shape invariant potentials KW - Scattering-amplitude KW - Darboux transformations KW - Hermite KW - Zeros KW - Extensions KW - Families KW - Charlier KW - Meixner KW - Orthogonal polynomials KW - Sturm-Liouville problems KW - Trivial monodromy TI - A Bochner type characterization theorem for exceptional orthogonal polynomials TY - journal article VL - 472 ER -