RT Journal Article
T1 Recurrence relations for exceptional Hermite polynomials.
A1 Gómez-Ullate Otaiza, David
A1 Kasman, Alex
A1 Kuijlaars, Arno B. J.
A1 Milson, Robert
AB The bispectral anti-isomorphism is applied to differential operators involving elements of the stabilizer ring to produce explicit formulas for all difference operators having any of the Hermite exceptional orthogonal polynomials as eigenfunctions with eigenvalues that are polynomials in x.
PB Academic Press-Elsevier Science
SN 0021-9045
YR 2016
FD 2016-04
LK https://hdl.handle.net/20.500.14352/24417
UL https://hdl.handle.net/20.500.14352/24417
LA eng
NO © 2015 Elsevier Inc. All rights reserved.The authors are grateful to the organizers of the conference NEEDS 2015 in Sardinia, Italy without which we might never have recognized the potential application of these tools to this problem. Likewise, the authors are grateful to Yves Grandati and Satoshi Tsujimoto for helpful conversations and their presentations on related topics at that conference.D.G.U. has been supported in part by Spanish MINECO Grants MTM2012-31714 and FIS2012-38949-C03-01 and by the ICMAT-Severo Ochoa grant SEV-2011-0087. A.B.J.K. is supported by KU Leuven Research Grant OT/12/073, the Belgian Interuniversity Attraction Pole   P07/18, and FWO Flanders projects G.0641.11, G.0934.13, G.0864.16. R.M. is supported by NSERC grant RGPIN-228057-2004.
NO Ministerio de Economía y Competitividad (MINECO)
NO Instituto de Ciencias Matemáticas (ICMAT)
NO Becas Severo Ochoa (MICINN)
NO Ministerio de Ciencia e Innovación (MICINN)
NO KU Leuven (Bélgica)
NO Belgian Interuniversity Attraction Pole
NO Fonds Wetenschappelijk Onderzoek (FWO), Bélgica
NO Natural Sciences and Engineering Research Council of Canada (NSERC)
DS Docta Complutense
RD 9 abr 2025