2 papers
math.CA2026
Generalized Freud weight, discrete Painlevé I hierarchy and full asymptotics of Hankel determinants
Wen-Gao Long, Lin-Rong Tang, Chao Min
In this paper, we investigate the monic orthogonal polynomials and the Hankel determinants associated with the generalized Freud weight \[w(x;T…
nlin.SI2025
The discrete Painlevé XXXIV hierarchy arising from the gap probability distributions of Freud random matrix ensembles
Chao Min, Liwei Wang
We consider the symmetric gap probability distributions of certain Freud unitary ensembles. This problem is related to the Hankel determinants generated by the Freud weights suppor…