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math.CA2023
Asymptotic Properties of Some Freud Polynomials
Chao Min, Liwei Wang, Yang Chen
We study the asymptotic properties of monic orthogonal polynomials (OPs) with respect to some Freud weights when the degree of the polynomial tends to infinity, including the asymp…
math-ph2023★ 1 cited
Gaussian Unitary Ensembles with Jump Discontinuities, PDEs and the Coupled Painlevé IV System
Yang Chen, Shulin Lyu
We study the Hankel determinant generated by the Gaussian weight with jump discontinuities at . By making use of a pair of ladder operators satisfied by the associa…