53 citations · 204 across the 25 of their papers we have counts for
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Isomonodromy sets of accessory parameters for Heun class equations
Jun Xia, Shuai-Xia Xu, Yu-Qiu Zhao
In this paper, we consider the monodromy and, in particularly, the isomonodromy sets of accessory parameters for the Heun class equations. We show that the Heun class equations can…
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…
Hankel determinants for a singular complex weight and the first and third Painlevé transcendents
Shuai-Xia Xu, Dan Dai, Yu-Qiu Zhao
In this paper, we consider polynomials orthogonal with respect to a varying perturbed Laguerre weight for and on certain contours in the complex pl…
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…
Location of Poles for the Hastings-McLeod Solution to the Second Painlevé Equation
Min Huang, Shuai-Xia Xu, Lun Zhang
We show that the well-known Hastings-McLeod solution to the second Painlevé equation is pole-free in the region $\arg x \in [-\fracπ{3},\fracπ{3}]\cup [\frac{2π}{3},\frac{ 4 π}{3}]…
Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight
Shuai-Xia Xu, Dan Dai, Yu-Qiu Zhao
In this paper, we consider the Hankel determinants associated with the singularly perturbed Laguerre weight , , and . When the matr…
Asymptotics of Landau constants with optimal error bounds
Yutian Li, Saiyu Liu, Shuaixia Xu +1
We study the asymptotic expansion for the Landau constants where , $…