Mengkun Zhu

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20182024

most citedCenter of mass distribution of the Jacobi unitary ensembles: Painleve V, asymptotic expansions

13 citations · 42 across the 9 of their papers we have counts for

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math.CA2024

Orthogonal polynomials: from Heun equations to Painlevé equations

Mengkun Zhu, Yuting Chen, Jianduo Yu +1

In this paper, we {\color{black}study four kinds of polynomials orthogonal with the singularly perturbed Gaussian weight $w_{SPG} (x)$ , the deformed Freud weight $w_{DF} (x)$ …

math.CA2018★ 13 cited

Center of mass distribution of the Jacobi unitary ensembles: Painleve V, asymptotic expansions

Longjun Zhan, Gordon Blower, Yang Chen +1

In this paper, we study the probability density function, $P (c, α, β, n) d c$ , of the center of mass of the finite $n$ Jacobi unitary ensembles with parameters $α > - 1$ and…