Shulin Lyu

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20152026

most citedAsymptotic Gap Probability Distributions of the Gaussian Unitary Ensembles and Jacobi Unitary Ensembles

26 citations · 59 across the 14 of their papers we have counts for

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math-ph2026

Recurrence Coefficients of the Orthogonal Polynomials for Oscillatory Jacobi-type Weight Functions

Shulin Lyu, Xun Zhou

We study two classes of oscillatory Jacobi-type weight functions $x^{c} (1 - x^{2})^{λ - 1/2} exp (i ζ x)$ , $x \in [- 1, 1], λ > - 1/2, c \in {0, 1}$ . Other restrictions are imposed on $λ$ and $ζ$ to…

math-ph2026

Hankel Determinant for a Perturbed Laguerre Weight with Pole Singularities and Generalized Painlevé III' Equation

Shulin Lyu, Yuanfei Lyu

We study the Hankel determinant for the weight $x^{α} exp (- x - t_{1} / x - t_{2} / x^{2}), x \in [0, + \infty)$ , with $α > - 1, t_{1} \in R ∖ {0}, t_{2} > 0.$ Compared with the weight $x^α…