TY - JOUR AU - Gómez-Ullate Otaiza, David AU - Kamran, N. AU - Milson, R. PY - 2010 SN - 1751-8113 UR - https://hdl.handle.net/20.500.14352/44630 T2 - Journal of physics A: Mathematical and theoretical 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... LA - eng PB - IOP Publishing Ltd KW - Shape-invariant potentials KW - Quasi-exact solvability KW - Quantum-mechanics KW - Supersymmetry KW - Systems TI - Exceptional orthogonal polynomials and the Darboux transformation TY - journal article VL - 43 ER -