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most citedUniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles

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math.CA2020

Large-degree asymptotics of rational Painleve-IV solutions by the isomonodromy method

Robert J. Buckingham, Peter D. Miller

The Painleve-IV equation has two families of rational solutions generated respectively by the generalized Hermite polynomials and the generalized Okamoto polynomials. We apply the…