RT Journal Article
T1 Two-step Darboux transformations and exceptional Laguerre polynomials
A1 Gómez-Ullate Otaiza, David
A1 Kamran, Niky
A1 Milson, Robert
AB It has been recently discovered that exceptional families of Sturm-Liouville orthogonal polynomials exist, that generalize in some sense the classical polynomials of Hermite, Laguerre and Jacobi. In this paper we show how new families of exceptional orthogonal polynomials can be constructed by means of multiple-step algebraic Darboux transformations. The construction is illustrated with an example of a 2-step Darboux transformation of the classical Laguerre polynomials, which gives rise to a new orthogonal polynomial system indexed by two integer parameters. For particular values of these parameters, the classical Laguerre and the type II X(l)-Laguerre polynomials are recovered.
PB Elsevier
SN 0022-247X
YR 2012
FD 2012-03-01
LK https://hdl.handle.net/20.500.14352/44627
UL https://hdl.handle.net/20.500.14352/44627
LA eng
NO © 2011 Elsevier Inc. All rights reserved.The research of DGU was supported in part by MICINN-FEDER grant MTM2009- 06973 and CUR-DIUE grant 2009SGR859. The research of NK was supported in  part by NSERC grant RGPIN 105490-2004. The research of RM was supported in part by NSERC grant RGPIN-228057-2004.
NO MICINN
NO CUR-DIUE
NO NSERC
DS Docta Complutense
RD 27 abr 2025