Orthogonal Polynomials for the Gaussian Weight with a Jump and Discrete Painlevé Equations

Abstract

We describe a refined version of the discrete Painlevé identification problem that emphasizes the importance on going beyond just the surface type in describing a discrete Painlevé dynamic. We give an example of solving such identification problem for a particular recurrence relation that previously appeared in studying orthogonal polynomials for the Gaussian weight with a single jump.

arXiv comment13 pages

References in corpus (10)

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