|
Título:
|
A Bochner type characterization theorem for exceptional orthogonal polynomials
|
|
Autores:
|
García Ferrero, María Ángeles ;
Gómez-Ullate Oteiza, David ;
Milson, Robert
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
Elsevier Science, 2019-04-01
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
cc_by_nc_nd
info:eu-repo/semantics/embargoedAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Física: Física-Modelos matemáticos
,
Materia = Ciencias: Física: Física matemática
,
Tipo = Artículo
|
|
Resumen:
|
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.
|
|
En línea:
|
https://eprints.ucm.es/id/eprint/51778/1/gomez-ullate41postprint%2BCC%28nc_nd%29%2BEMB_01_abr_2021.pdf
|
