Chao Min

activity

20152023

most citedPainlevé Transcendents and the Hankel Determinants Generated by a Discontinuous Gaussian Weight

24 citations · 185 across the 18 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.CA2022★ 2 cited

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…

math.CA2022★ 19 cited

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…

math-ph2022★ 5 cited

Hankel Determinant and Orthogonal Polynomials for a Perturbed Gaussian Weight: from Finite $n$ to Large $n$ Asymptotics

Chao Min, Yang Chen

We study the monic polynomials orthogonal with respect to a symmetric perturbed Gaussian weight $w (x; t) := e^{- x^{2}} (1 + t x^{2})^{λ}, x \in R,$ wher…

Differential and Difference Equations for Recurrence Coefficients of Orthogonal Polynomials with a Singularly Perturbed Laguerre-type Weight

Painlevé IV, Chazy II, and Asymptotics for Recurrence Coefficients of Semi-classical Laguerre Polynomials and Their Hankel Determinants

Hankel Determinant and Orthogonal Polynomials for a Perturbed Gaussian Weight: from Finite n to Large n Asymptotics

Hankel Determinant and Orthogonal Polynomials for a Perturbed Gaussian Weight: from Finite $n$ to Large $n$ Asymptotics