RT Journal Article
T1 Exceptional orthogonal polynomials and the Darboux transformation
A1 Gómez-Ullate Otaiza, David
A1 Kamran, N.
A1 Milson, R.
AB We adapt the notion of the Darboux transformation to the context of polynomial Sturm-Liouville problems. As an application, we characterize the recently described X(m) Laguerre polynomials in terms of an isospectral Darboux transformation. We also show that the shape invariance of these new polynomial families is a direct consequence of the permutability property of the Darboux-Crum transformation.
PB IOP Publishing Ltd
SN 1751-8113
YR 2010
FD 2010-10-29
LK https://hdl.handle.net/20.500.14352/44630
UL https://hdl.handle.net/20.500.14352/44630
LA eng
NO © IOP Publishing Ltd.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 7 jun 2025