17 citations · 95 across the 41 of their papers we have counts for
3 papers · 1 filter
The kissing polynomials and their Hankel determinants
Andrew F. Celsus, Alfredo Deaño, Daan Huybrechs +1
In this paper we investigate algebraic, differential and asymptotic properties of polynomials that are orthogonal with respect to the complex oscillatory weight $w(x)=e^{i…
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)}…
Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature
A. Deano, D. Huybrechs, A. B. J. Kuijlaars
In this paper we study the asymptotic behavior of a family of polynomials which are orthogonal with respect to an exponential weight on certain contours of the complex plane. The z…