Discrete Painlevé Equations for Recurrence Coefficients of Semiclassical Laguerre Polynomials
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چکیده
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.
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تاریخ انتشار 2009