Branquinho, A.Rebocho, M. N.2020-02-042020-02-042014A. Branquinho and M.N. Rebocho, Deformed Laguerre-Hahn orthogonal polynomials on the real line, Applied Mathematics and Computation 233 (2014), 359-368.http://hdl.handle.net/10400.6/9003We study families of orthogonal polynomials on the real line whose Stieltjes functions satisfy a Riccati type differential equation with polynomial coefficients. We derive discrete dynamical systems, obtained as a result of deformations of the recurrence relation coefficients of the orthogonal polynomials related to the above referred Stieltjes functions.engOrthogonal polynomialsSemi-classical classMatrix Sylvester differential equationsLax pairspreprint