Rebocho, M. N.Filipuk, Galina2020-02-042020-02-042019G. Filipuk and M.N. Rebocho, Classification of Laguerre-Hahn orthogonal polynomials of class one, Mathematische Nachrichten. 2019; 1-19.http://hdl.handle.net/10400.6/8986We study orthogonal polynomials related to Stieltjes functions satisfying Riccati type differential equations with polynomial coefficients, AS0 = BS2 + CS + D, with max {deg(A); deg(B)} <= 3; deg(C) <= 2. We derive recurrences for the three-term recurrence relation coefficients of the orthogonal polynomials, including connections with some forms of discrete Painlevé equations.engOrthogonal polynomialsStieltjes functionLaguerre-Freud equationsPainlev´e equationspreprintDOI: 10.1002/mana.201800063