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Walter Van Assche

Walter Van Assche

D-Index & Metrics

Mathematics

D-Index
45
Citations
7259
World Ranking
1496
National Ranking
20

Overview

Walter Van Assche is affiliated with KU Leuven in Belgium and has a scholarly record centered in mathematics, with additional contributions in computer science and physics and astronomy. Their research covers several subfields including applied mathematics, algebra and number theory, computational theory and mathematics, statistics and probability, and atomic and molecular physics and optics.

The scientist's work prominently addresses topics such as mathematical functions and polynomials, matrix theory and algorithms, advanced mathematical identities, random matrices and applications, analytic number theory research, electromagnetic scattering and analysis, and mathematical inequalities and applications.

Van Assche has published a number of recent papers, reflecting ongoing research interests:

  • "Orthogonal polynomials, Toda lattices and Painlevé equations" (2022), published in Physica D Nonlinear Phenomena
  • "Zero Distribution of Orthogonal Polynomials on a q-Lattice" (2020), published in Constructive Approximation
  • "Multiple orthogonal polynomials associated with the exponential integral" (2023), published in Studies in Applied Mathematics
  • "Chebyshev polynomials in the 16th century" (2022), published in Journal of Approximation Theory
  • "Unique special solution for discrete Painlevé II" (2023), published in The Journal of Difference Equations and Applications

The venues where this research is often published include arXiv (Cornell University), Journal of Approximation Theory, Physica D Nonlinear Phenomena, Constructive Approximation, and Studies in Applied Mathematics.

The scientist's collaborative network features frequent coauthors such as Mourad E. H. Ismail, Thomas Wolfs, Grzegorz Świderski, Quinten Van Baelen, and Teresa Laudadio.

Walter Van Assche has contributed to book publications as well, including a title published by Cambridge University Press: the Encyclopedia of Special Functions: The Askey-Bateman Project (2020).

Best Publications

  • The Riemann-Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]

    A. B. J. Kuijlaars;K. T-R McLaughlin;K. T-R McLaughlin;W. Van Assche;M. Vanlessen

  • Orthogonal matrix polynomials and higher-order recurrence relations

    A.J. Durán;W. Van Assche

  • Some classical multiple orthogonal polynomials

    Walter Van Assche;Els Coussement

  • Multiple orthogonal polynomials for classical weights

    A. I. Aptekarev;A. Branquinho;W. Van Assche

  • Asymptotics for Orthogonal Polynomials

    Walter Van Assche

  • The Asymptotic Zero Distribution of Orthogonal Polynomials with Varying Recurrence Coefficients

    A.B.J Kuijlaars;W Van Assche

  • Riemann-Hilbert Problems for Multiple Orthogonal Polynomials

    Walter Van Assche;Jeffrey S. Geronimo;Arno B. J. Kuijlaars

  • ORTHOGONAL POLYNOMIALS ON SEVERAL INTERVALS VIA A POLYNOMIAL MAPPING

    J. S. Geronimo;W. Van Assche

  • Orthogonal matrix polynomials and applications

    Ann Sinap;Walter Van Assche

  • Orthogonal polynomials with asymptotically periodic recurrence coefficients

    J S Geronimo;W van Assche

  • Some discrete multiple orthogonal polynomials

    Unknown

  • Nearest neighbor recurrence relations for multiple orthogonal polynomials

    Walter Van Assche

  • RELATIVE ASYMPTOTICS FOR POLYNOMIALS ORTHOGONAL WITH RESPECT TO A DISCRETE SOBOLEV INNER PRODUCT

    G. López;F. Marcellán;W. Van Assche

  • Orthogonal polynomials, associated polynomials and functions of the second kind

    Walter Van Assche

  • Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials

    Jesús S. Dehesa;Walter van Assche;Rafael J. Yáñez

  • Multiple orthogonal polynomials, irrationality and transcendence

    Walter Van Assche

  • Asymptotics for Orthogonal Polynomials and Three-Term Recurrences

    Walter Van Assche

  • Orthogonal polynomials in the complex plane and on the real line

    Walter Van Assche

  • Relative Asymptotics for Orthogonal Polynomials with a Sobolev Inner Product

    F. Marcellan;W. Vanassche

  • Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials

    Walter Van Assche

  • Entropy of orthogonal polynomials with Freud weights and information entropies of the harmonic oscillator potential

    W. Van Assche;R. J. Yáñez;J. S. Dehesa

  • Asymptotics for Orthogonal Polynomials

    Unknown

  • Basic hypergeometric series

    Walter Van Assche

  • Orthogonal Polynomials and Painlevé Equations

    Walter Van Assche

  • Orthogonal Polynomials and Special Functions

    Francisco Marcellán;Walter Van Assche

  • Orthogonal matrix polynomials and higher order recurrence relations

    Antonio J. Durán;Walter Van Assche

  • Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product

    G. López;Francisco Marcellán;Walter Van Assche

Frequent Co-Authors

Paul Nevai
Paul Nevai The Ohio State University
Alexander Ivanovich Aptekarev
Alexander Ivanovich Aptekarev Keldysh Institute of Applied Mathematics
Jeffrey S. Geronimo
Jeffrey S. Geronimo Georgia Institute of Technology
Francisco Marcellán
Francisco Marcellán Carlos III University of Madrid
Peter A. Clarkson
Peter A. Clarkson University of Kent
Tom H. Koornwinder
Tom H. Koornwinder University of Amsterdam
Jesús S. Dehesa
Jesús S. Dehesa University of Granada
Mourad E. H. Ismail
Mourad E. H. Ismail University of Louisiana at Lafayette

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