4 papers
math-ph2026
Asymptotics of the Hankel determinant and orthogonal polynomials arising from the information theory of MIMO systems
Chao Min, Xiaoqing Wu
We consider the Hankel determinant and orthogonal polynomials with respect to the deformed Laguerre weight …
math.CA2025
Orthogonal polynomials for the singularly perturbed Laguerre weight, Hankel determinants and asymptotics
Chao Min, Xiaoqing Wu
Based on the work of Chen and Its [{\em J. Approx. Theory} {\bf 162} ({2010}) {270--297}], we further study orthogonal polynomials with respect to the singularly perturbed Laguerre…
math-ph2024
Hankel determinant and orthogonal polynomials arising from the matrix model in 2D quantum gravity
Chao Min, Yadan Ding
We study the Hankel determinant and orthogonal polynomials with respect to the two-parameter weight function $$ w(x)=w(x;t_1, t_2):=\exp(-x^6-t_2 x^4-t_1 x^2),\qquad x\in\mathbb{R}…
math-ph2024
Generalized Airy polynomials, Hankel determinants and asymptotics
Chao Min, Pixin Fang
We further study the orthogonal polynomials with respect to the generalized Airy weight based on the work of Clarkson and Jordaan [{\em J. Phys. A: Math. Theor.} {\bf 54} ({2021})…