88 citations · 390 across the 36 of their papers we have counts for
4 papers · 1 filter
Asymptotic expansions and fast computation of oscillatory Hilbert transforms
Haiyong Wang, Lun Zhang, Daan Huybrechs
In this paper, we study the asymptotics and fast computation of the one-sided oscillatory Hilbert transforms of the form $$H^{+}(f(t)e^{iωt})(x)=-int_{0}^{\infty}e^{iωt}\frac{f(t)}…
The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation
Galina Filipuk, Walter Van Assche, Lun Zhang
We show that the coefficients of the three-term recurrence relation for orthogonal polynomials with respect to a semi-classical extension of the Laguerre weight satisfy the fourth…
Non-intersecting squared Bessel paths with one positive starting and ending point
Steven Delvaux, Arno B. J. Kuijlaars, Pablo Román +1
We consider a model of non-intersecting squared Bessel processes with one starting point at time t=0 and one ending point at time . After proper scaling, the p…
PDEs satisfied by extreme eigenvalues distributions of GUE and LUE
Estelle Basor, Yang Chen, Lun Zhang
In this paper we study, the probability that all the eigenvalues of finite unitary ensembles lie in the interval . This is identical to the proba…