17 citations · 95 across the 41 of their papers we have counts for
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math.NA2015
Fast Algorithms for the computation of Fourier Extensions of arbitrary length
Roel Matthysen, Daan Huybrechs
Fourier series of smooth, non-periodic functions on are known to exhibit the Gibbs phenomenon, and exhibit overall slow convergence. One way of overcoming these problems i…
math.CA2015★ 1 cited
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…
cs.MS2015★ 12 cited
Construction and implementation of asymptotic expansions for Jacobi--type orthogonal polynomials
Alfredo Deaño, Daan Huybrechs, Peter Opsomer
We are interested in the asymptotic behavior of orthogonal polynomials of the generalized Jacobi type as their degree goes to . These are defined on the interval $[-1,1…