Rebocho, Maria das NevesBranquinho, A.Paiva, AnabelaFoulquie-Moreno, Ana2020-02-042020-02-042015A. Branquinho, A. Foulquie-Moreno, A. Paiva, and M.N. Rebocho, Second- order differential equations in the Laguerre-Hahn class, Applied Numerical Mathematics 94 (2015), 16-32http://hdl.handle.net/10400.6/9002Laguerre-Hahn families on the real line are characterized in terms of second order differential equations with matrix coefficients for vectors involving the orthogonal polynomials and their associated polynomials, as well as in terms of second order differential equation for the functions of the second kind. Some characterizations of the classical families are derived.engOrthogonal polynomials on the real lineRiccati differential equationSemi-classical functionalsClassical orthogonal polynomialspreprint