24 citations · 185 across the 18 of their papers we have counts for
6 papers · 1 filter
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…
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…
Semi-classical Jacobi Polynomials, Hankel Determinants and Asymptotics
Chao Min, Yang Chen
We study orthogonal polynomials and Hankel determinants generated by a symmetric semi-classical Jacobi weight. By using the ladder operator technique, we derive the second-order no…
Differential, Difference and Asymptotic Relations for Pollaczek-Jacobi Type Orthogonal Polynomials and Their Hankel Determinants
Chao Min, Yang Chen
In this paper, we study the orthogonal polynomials with respect to a singularly perturbed Pollaczek-Jacobi type weight $$ w(x,t):=(1-x^2)^α\mathrm{e}^{-\frac{t}{1-x^{2}}},\qquad x\…
Linear Statistics of Matrix Ensembles in Classical Background
Yang Chen, Chao Min
Given a joint probability density function of real random variables, obtained from the eigenvector-eigenvalue decomposition of random matrices,…