Walter Van Assche

6.5k total citations · 1 hit paper
171 papers, 4.1k citations indexed

About

Walter Van Assche is a scholar working on Applied Mathematics, Statistical and Nonlinear Physics and Algebra and Number Theory. According to data from OpenAlex, Walter Van Assche has authored 171 papers receiving a total of 4.1k indexed citations (citations by other indexed papers that have themselves been cited), including 123 papers in Applied Mathematics, 52 papers in Statistical and Nonlinear Physics and 42 papers in Algebra and Number Theory. Recurrent topics in Walter Van Assche's work include Mathematical functions and polynomials (117 papers), Advanced Mathematical Identities (34 papers) and Matrix Theory and Algorithms (34 papers). Walter Van Assche is often cited by papers focused on Mathematical functions and polynomials (117 papers), Advanced Mathematical Identities (34 papers) and Matrix Theory and Algorithms (34 papers). Walter Van Assche collaborates with scholars based in Belgium, United States and Spain. Walter Van Assche's co-authors include R. J. Yáñez, J. S. Dehesa, Jeffrey S. Geronimo, Arno B. J. Kuijlaars, Alexander Ivanovich Aptekarev, Antonio J. Durán, Paul Nevai, Francisco Marcellán, Amílcar Branquinho and G. López Lagomasino and has published in prestigious journals such as Physical Review A, Mathematics of Computation and Lecture notes in mathematics.

In The Last Decade

Walter Van Assche

162 papers receiving 3.6k citations

Hit Papers

Basic hypergeometric series 1991 2026 2002 2014 1991 250 500 750
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Basic hypergeometric series
    1991 797 citations Walter Van Assche Journal of Approximation Theory profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Walter Van Assche Belgium 31 2.8k 1.2k 943 938 929 171 4.1k
Mourad E. H. Ismail United States 41 4.5k 1.6× 1.5k 1.2× 1.0k 1.1× 1.1k 1.2× 1.9k 2.0× 274 6.2k
T. S. Chihara United States 19 2.1k 0.7× 773 0.6× 767 0.8× 725 0.8× 558 0.6× 43 3.0k
Francisco Marcellán Spain 26 2.7k 1.0× 764 0.6× 928 1.0× 900 1.0× 281 0.3× 301 3.0k
Percy Deift United States 43 2.1k 0.8× 3.3k 2.7× 1.0k 1.1× 1.0k 1.1× 598 0.6× 110 7.9k
Tom H. Koornwinder Netherlands 27 1.6k 0.6× 668 0.5× 318 0.3× 426 0.5× 834 0.9× 99 2.7k
George Gasper United States 20 1.9k 0.7× 482 0.4× 392 0.4× 271 0.3× 1.3k 1.4× 64 2.9k
Paul Nevai United States 30 2.4k 0.9× 412 0.3× 612 0.6× 380 0.4× 356 0.4× 101 2.9k
Charles F. Dunkl United States 23 2.0k 0.7× 596 0.5× 308 0.3× 554 0.6× 549 0.6× 113 3.4k
Harold Widom United States 34 1.4k 0.5× 519 0.4× 673 0.7× 448 0.5× 260 0.3× 124 4.6k

Countries citing papers authored by Walter Van Assche

Since Specialization
Citations

This map shows the geographic impact of Walter Van Assche's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Walter Van Assche with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Walter Van Assche more than expected).

Fields of papers citing papers by Walter Van Assche

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Walter Van Assche. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Walter Van Assche. The network helps show where Walter Van Assche may publish in the future.

Co-authorship network of co-authors of Walter Van Assche

This figure shows the co-authorship network connecting the top 25 collaborators of Walter Van Assche. A scholar is included among the top collaborators of Walter Van Assche based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Walter Van Assche. Walter Van Assche is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Lubinsky, D. S. & Walter Van Assche. (2016). Simultaneous Gaussian quadrature for Angelesco systems. Lirias. 8(2). 113–149. 2 indexed citations
2.
Aptekarev, Alexander Ivanovich, Jeffrey S. Geronimo, & Walter Van Assche. (2007). Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients. Journal of Approximation Theory. 150(2). 214–238. 3 indexed citations
3.
Elaydi, Saber, J. M. Cushing, Rupert Lasser, et al.. (2007). Proceedings of the International Conference Difference Equations, special functions and orthogonal polynomials, Munich, Germany, 25-30 July 2005. WORLD SCIENTIFIC eBooks. 2 indexed citations
4.
Njåstad, Olav, et al.. (2005). Szego quadrature and frequency analysis. ETNA - Electronic Transactions on Numerical Analysis. 19. 48–57. 3 indexed citations
5.
Aptekarev, Alexander Ivanovich & Walter Van Assche. (2004). Scalar and matrix Riemann–Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight. Journal of Approximation Theory. 129(2). 129–166. 45 indexed citations
6.
Assche, Walter Van, et al.. (2003). Some discrete multiple orthogonal polynomials. Journal of Computational and Applied Mathematics. 153(1-2). 19–45. 75 indexed citations
7.
Assche, Walter Van. (2001). Finding a measure of orthogonality - Comments. Journal of Computational and Applied Mathematics. 133. 698–699. 1 indexed citations
8.
Assche, Walter Van, et al.. (2001). Some classical multiple orthogonal polynomials. Journal of Computational and Applied Mathematics. 127(1-2). 317–347. 100 indexed citations
9.
Decin, L., Christoffel Waelkens, Kimmo Eriksson, et al.. (2000). Synthetic spectra of cool stars observed with the ISO Short-Wavelength Spectrometer: improving the models and the calibration of the instrument. PhDT. 55. 4 indexed citations
10.
Kuijlaars, Arno B. J. & Walter Van Assche. (1999). The Asymptotic Zero Distribution of Orthogonal Polynomials with Varying Recurrence Coefficients. Journal of Approximation Theory. 99(1). 167–197. 75 indexed citations
11.
Kuijlaars, Arno B. J. & Walter Van Assche. (1998). A contact problem in elasticity related to weighted polynomials on the real line. Rendiconti del Circolo Matematico di Palermo Series 2. 52. 575–587. 3 indexed citations
12.
Parthasarathy, P.R., et al.. (1998). A Birth and Death Process Related to the Rogers–Ramanujan Continued Fraction. Journal of Mathematical Analysis and Applications. 224(2). 297–315. 5 indexed citations
13.
Assche, Walter Van, et al.. (1996). Asymptotics of entropy integrals for orthogonal polynomials. Doklady Mathematics. 53(1). 47–49. 16 indexed citations
14.
Assche, Walter Van, et al.. (1996). Orthogonal matrix polynomials and applications. Journal of Computational and Applied Mathematics. 66(1-2). 27–52. 75 indexed citations
15.
Golinskiĭ, Leonid, Paul Nevai, & Walter Van Assche. (1995). Perturbation of Orthogonal Polynomials on an Arc of the Unit Circle. Journal of Approximation Theory. 83(3). 392–422. 31 indexed citations
16.
Assche, Walter Van. (1993). Open problems. Journal of Computational and Applied Mathematics. 48(1-2). 225–243. 3 indexed citations
17.
Assche, Walter Van. (1991). Orthogonal polynomials, associated polynomials and functions of the second kind. Journal of Computational and Applied Mathematics. 37(1-3). 237–249. 53 indexed citations
18.
Geronimo, Jeffrey S. & Walter Van Assche. (1988). Orthogonal polynomials on several intervals via a polynomial mapping. Transactions of the American Mathematical Society. 308(2). 559–581. 67 indexed citations
19.
Assche, Walter Van. (1987). Eigenvalues of Toeplitz matrices associated with orthogonal polynomials. Journal of Approximation Theory. 51(4). 360–371. 4 indexed citations
20.
Assche, Walter Van. (1986). Invariant zero behaviour for orthogonal polynomials on compact sets of the real line. 38(1). 1–13. 9 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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