W
Walter Van Assche
Researcher at Katholieke Universiteit Leuven
Publications - 171
Citations - 3956
Walter Van Assche is an academic researcher from Katholieke Universiteit Leuven. The author has contributed to research in topics: Orthogonal polynomials & Classical orthogonal polynomials. The author has an hindex of 32, co-authored 166 publications receiving 3654 citations. Previous affiliations of Walter Van Assche include National Fund for Scientific Research.
Papers
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Book
Asymptotics for Orthogonal Polynomials
TL;DR: Orthogonal polynomials on a compact set-Asymptotically periodic recurrence coefficients- Probabilistic proofs of asymptotic formulas- Orthogonality on unbounded sets- Zero distribution and consequences- Some applications
Book ChapterDOI
Riemann-Hilbert Problems for Multiple Orthogonal Polynomials
TL;DR: In this article, it was shown that the extremal problem for vector potentials is important for the normalization of the Riemann-Hilbert problem for orthogonal polynomials.
Journal ArticleDOI
Some classical multiple orthogonal polynomials
Walter Van Assche,Els Coussement +1 more
TL;DR: In this paper, seven families of multiple orthogonal polynomials have been described, which have the same flavor as the classical orthogonality of Jacobi, Laguerre and Hermite.
Posted Content
Orthogonal matrix polynomials and higher order recurrence relations
TL;DR: In this article, it was shown that orthogonal polynomials on the real line satisfy a three-term recurrence relation and conversely every polynomial with respect to a positive Borel measure is orthogonality.
Journal ArticleDOI
Orthogonal matrix polynomials and applications
Ann Sinap,Walter Van Assche +1 more
TL;DR: Orthogonal matrix polynomials, both on the real line and on the unit circle, have properties which are natural generalizations of properties of scalar orthogonality, appropriately modified for the matrix calculus as mentioned in this paper.