145 citations · 843 across the 63 of their papers we have counts for
65 papers
Asymptotics of the coefficients of polynomials, asymptotic zero distribution and free probability
Walter Van Assche
The asymptotic behavior of the coefficients of a sequence of polynomials is given under the conditions that all the zeros are real and positive and the zeros have an asymptotic zer…
Ratio and limiting zero distribution asymptotics for symmetric multiple orthogonal polynomials
Ana Loureiro, Walter Van Assche
We investigate the ratio asymptotics and the asymptotic zero distribution of a sequence of polynomials that satisfy a recurrence relation of order with all recurrence coeffic…
A MATLAB package computing simultaneous Gaussian quadrature rules for Multiple Orthogonal Polynomials
Teresa Laudadio, Nicola Mastronardi, Walter Van Assche +1
The aim of this paper is to describe a Matlab package for computing the simultaneous Gaussian quadrature rules associated with a variety of multiple orthogonal polynomials. Multipl…
Rational approximation of Euler's constant using multiple orthogonal polynomials
Thomas Wolfs, Walter Van Assche
We construct new rational approximants of Euler's constant that improve those of Aptekarev et al. (2007) and Rivoal (2009). The approximants are given in terms of certain (mixed ty…
A Golub-Welsch version for simultaneous Gaussian quadrature
Walter Van Assche
The zeros of type II multiple orthogonal polynomials can be used for quadrature formulas that approximate integrals of the same function with respect to measures $μ_1,\…
Unique special solution for discrete Painlevé II
Walter Van Assche
We show that the discrete Painlevé II equation with starting value has a unique solution for which for every . This solution corresponds to the…