Abstract
Abstract This article is a survey of the recent studies jointly with Lies Boelen, Christophe Smet, Walter Van Assche and Lun Zhang (KULeuven, Belgium) on semi-classical continuous and discrete orthogonal polynomials and, in particular, on the connection of their recurrence coefficients to the solutions of the Painleve equations. After recalling some basic facts about the Painleve equations, we discuss continuous and discrete orthogonal polynomials and explain their connection.
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