RT journal article
T1 Exceptional Gegenbauer polynomials via isospectral deformation
A1 García-Ferrero, María Ángeles
A1 Gómez-Ullate Oteiza, David
A1 Milson, Robert
A1 Munday, James
A2 Ingeniería Informática
K1 confluent Darboux transformations
K1 exceptional polynomials
K1 Gegenbauer polynomials
K1 isospectral deformations
K1 Sturm–Liouville problems
AB In this paper, we show how to construct exceptionalorthogonal polynomials (XOP) using isospectraldeformations of classical orthogonal polynomials. Theconstruction is based on confluent Darboux transformations,where repeated factorizations at the sameeigenvalue are allowed. These factorizations allow usto construct Sturm–Liouville problems with polynomialeigenfunctions that have an arbitrary number of realvaluedparameters. We illustrate this new constructionby exhibiting the class of deformed Gegenbauer polynomials,which are XOP families that are isospectraldeformations of classical Gegenbauer polynomials.
PB WILEY
SN 0022-2526
YR 2022
FD 2022
LK http://hdl.handle.net/10498/27007
UL http://hdl.handle.net/10498/27007
LA eng
NO Spanish MINECO through Juan de la Cierva fellowship FJC2019-039681-I, Spanish State Research Agency through BCAM Severo Ochoa excellence accreditation SEV-2017-0718, Basque Government through the BERC Programme 2022-2025, projects PGC2018-096504-B-C33 and RTI2018-100754-B-I00 from FEDER/Ministerio de Ciencia e Innovacion-Agencia Estatal de Investigacion, the European Union under the 2014-2020 ERDF Operational Programme, and the Department of Economy, Knowledge, Business and University of the Regional Government of Andalusia (project FEDER-UCA18-108393)
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026