74 citations · 851 across the 80 of their papers we have counts for
80 papers
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…
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…
Differential and Difference Equations for Recurrence Coefficients of Orthogonal Polynomials with a Singularly Perturbed Laguerre-type Weight
Chao Min, Yuan Cheng, Yang Chen
We are concerned with the monic orthogonal polynomials with respect to a singularly perturbed Laguerre-type weight. By using the ladder operator approach, we derive a complicated s…
Painlevé IV, Chazy II, and Asymptotics for Recurrence Coefficients of Semi-classical Laguerre Polynomials and Their Hankel Determinants
Chao Min, Yang Chen
This paper studies the monic semi-classical Laguerre polynomials based on previous work by Boelen and Van Assche \cite{Boelen}, Filipuk et al. \cite{Filipuk} and Clarkson and Jorda…
Hankel Determinant and Orthogonal Polynomials for a Perturbed Gaussian Weight: from Finite to Large Asymptotics
Chao Min, Yang Chen
We study the monic polynomials orthogonal with respect to a symmetric perturbed Gaussian weight wher…
Laguerre Unitary Ensembles with Jump Discontinuities, PDEs and the Coupled Painlevé V System
Shulin Lyu, Yang Chen, Shuai-Xia Xu
We study the Hankel determinant generated by the Laguerre weight with jump discontinuities at . By employing the ladder operator approach to establish Riccati eq…