Resumen: We prove a necessary and sufficient condition for the integrability of the weight associated to the exceptional Laguerre polynomials. This condition is very much related to the fact that the associated second order differential operator has no singularities in (0,+8). Idioma: Inglés DOI: 10.1016/j.jmaa.2014.11.035 Año: 2015 Publicado en: Journal of Mathematical Analysis and Applications 424, 2 (2015), 1042-1053 ISSN: 0022-247X Factor impacto JCR: 1.014 (2015) Categ. JCR: MATHEMATICS rank: 56 / 312 = 0.179 (2015) - Q1 - T1 Categ. JCR: MATHEMATICS, APPLIED rank: 88 / 254 = 0.346 (2015) - Q2 - T2 Factor impacto SCIMAGO: 1.15 - Applied Mathematics (Q1) - Analysis (Q2)