Rebocho, M. N.Filipuk, Galina2020-02-042020-02-042019G. Filipuk and M.N. Rebocho, The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions, Bulletin of the Malaysian Mathematical Sciences Society. 2019http://hdl.handle.net/10400.6/8988We study a large class of orthogonal polynomials, containing the semi-classical symmetric orthogonal polynomials of class two. We show difference equations for the recurrence coefficients of the orthogonal polynomials as well as for related quantities. Some of these recurrences are identified with discrete Painlevé equations.engOrthogonal polynomialsSemi-classical classFreud weightsLaguerre-Freud equationsPainlev´e equationsStieltjes functionpreprintDOI: 10.1007/s40840-019-00801-0