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DISCRETE PAINLEVÉ EQUATIONS FOR RECURRENCE COEFFICIENTS OF SEMICLASSICAL LAGUERRE POLYNOMIALS

By Lies Boelen, Walter, Van Assche and Communicated Peter A. Clarkson

Abstract

Abstract. We consider two semiclassical extensions of the Laguerre weight and their associated sets of orthogonal polynomials. These polynomials satisfy a three-term recurrence relation. We show that the coefficients appearing in this relation satisfy discrete Painlevé equations. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.308.4036
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