@article{garcia-ferreroBochnerTypeCharacterization2019,
 abstract = {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 complete classification of all exceptional orthogonal polynomials. In some sense, this paper can be regarded as the extension of Bochner's result for classical orthogonal polynomials to the exceptional class. As a supplementary result, we derive a canonical form for exceptional operators based on a bilinear formalism, and prove that every exceptional operator has trivial monodromy at all primary poles.},
 author = {García-Ferrero, MaÁngeles and Gómez-Ullate, David and Milson, Robert},
 doi = {10.1016/j.jmaa.2018.11.042},
 file = {/Users/david/Zotero/storage/CGAR7IH2/García-Ferrero et al. - 2019 - A Bochner type characterization theorem for exceptional orthogonal polynomials.pdf},
 issn = {0022247X},
 journal = {Journal of Mathematical Analysis and Applications},
 langid = {english},
 month = {April},
 number = {1},
 pages = {584--626},
 title = {A Bochner Type Characterization Theorem for Exceptional Orthogonal Polynomials},
 urldate = {2025-10-19},
 volume = {472},
 year = {2019}
}