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math.CA2021★ 7 cited
Semi-classical Jacobi Polynomials, Hankel Determinants and Asymptotics
Chao Min, Yang Chen
We study orthogonal polynomials and Hankel determinants generated by a symmetric semi-classical Jacobi weight. By using the ladder operator technique, we derive the second-order no…
math-ph2021
Global and Local Scaling Limits for Linear Eigenvalue Statistics of Jacobi -Ensembles
Chao Min, Yang Chen
We study the moment-generating functions (MGF) for linear eigenvalue statistics of Jacobi unitary, symplectic and orthogonal ensembles. By expressing the MGF as Fredholm determinan…
math.CA2021★ 19 cited
Differential, Difference and Asymptotic Relations for Pollaczek-Jacobi Type Orthogonal Polynomials and Their Hankel Determinants
Chao Min, Yang Chen
In this paper, we study the orthogonal polynomials with respect to a singularly perturbed Pollaczek-Jacobi type weight $$ w(x,t):=(1-x^2)^α\mathrm{e}^{-\frac{t}{1-x^{2}}},\qquad x\…