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math.CA2026
Generalized Freud weight, discrete Painlevé I hierarchy and full asymptotics of Hankel determinants
Wen-Gao Long, Lin-Rong Tang, Chao Min
In this paper, we investigate the monic orthogonal polynomials and the Hankel determinants associated with the generalized Freud weight \[w(x;T…
math.CA2024
Orthogonal Polynomials with a Singularly Perturbed Airy Weight
Chao Min, Yuan Cheng
We study the monic orthogonal polynomials with respect to a singularly perturbed Airy weight. By using Chen and Ismail's ladder operator approach, we derive a discrete system satis…