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math.CA2020★ 2 cited
Critical edge behavior in the singularly perturbed Pollaczek-Jacobi type unitary ensemble
Zhaoyu Wang, Engui Fan
In this paper, we study the strong asymptotic for the orthogonal polynomials and universality associated with singularly perturbed Pollaczek-Jacobi type weight $$w_{p_J2}(x,t)=e^{-…
math.CA2015★ 17 cited
Perturbed Hankel determinant, correlation functions and Painlevé equations
Min Chen, Yang Chen, Engui Fan
We continue with the study of the Hankel determinant, generated by a Pollaczek-Jacobi type weigh…