Rebocho, M. N.Castillo, Kenier2020-02-042020-02-042017K. Castillo and M.N. Rebocho, On linear spectral transformations and the Laguerre-Hahn class, Integral Transforms and Special Functions 28, no. 11 (2017) 859-875.http://hdl.handle.net/10400.6/8999We study the Christoffel, Geronimus, and Uvarov transformations for Laguerre-Hahn orthogonal polynomials on the real line. It is analysed the modification of the corresponding difference-differential equations that characterize the systems of orthogonal polynomials and the consequences for the three-term recurrence relation coefficients.engOrthogonal polynomialsLaguerre-Hahn classRiccati di erential equationChristo el transformationGeronimus transformationUvarov transformationpreprint