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math.CA2020★ 15 cited
Gaussian unitary ensemble with jump discontinuities and the coupled Painlevé II and IV systems
Xiao-Bo Wu, Shuai-Xia Xu
We study the orthogonal polynomials and the Hankel determinants associated with Gaussian weight with two jump discontinuities. When the degree is finite, the orthogonal polynom…
math.CA2018
Asymptotics of recurrence coefficients for the Laguerre weight with a singularity at the edge
Xiao-Bo Wu
In this paper, We study the asymptotics of the leading coefficients and the recurrence coefficients for the orthogonal polynomials with repect to the Laguerre weight with singulari…
math.CA2014
Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point
Xiao-Bo Wu, Yu Lin, Shuai-Xia Xu +1
In this paper, we develop the Riemann-Hilbert method to study the asymptotics of discrete orthogonal polynomials on infinite nodes with an accumulation point. To illustrate our met…