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Advisor(s)
Abstract(s)
We 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.
Description
Keywords
Orthogonal polynomials Semi-classical class Freud weights Laguerre-Freud equations Painlev´e equations Stieltjes function
Citation
G. 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. 2019