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Walter Van Assche

Walter Van Assche

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 45 1496 1290 20 19 268 7259

Walter Van Assche publications per year

The chart shows the history of publications by Walter Van Assche between 1981 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Walter Van Assche published across 45 years, from 1981 to 2025, averaging 6.5 papers a year. Output peaked at 17 publications in 2020. 6 of the 292 publications appeared in the last two years.

No. of publications
5 10 15
Bar chart. Horizontal axis: year, 1981 to 2025. Vertical axis: number of publications, 0 to 17. Peak 17 publications in 2020. 1981: 1 publication 1982: 2 publications 1983: 0 publications 1984: 0 publications 1985: 4 publications 1986: 8 publications 1987: 14 publications 1988: 5 publications 1989: 7 publications 1990: 3 publications 1991: 6 publications 1992: 2 publications 1993: 12 publications 1994: 11 publications 1995: 14 publications 1996: 8 publications 1997: 3 publications 1998: 7 publications 1999: 9 publications 2000: 11 publications 2001: 15 publications 2002: 1 publication 2003: 15 publications 2004: 8 publications 2005: 13 publications 2006: 10 publications 2007: 5 publications 2008: 4 publications 2009: 1 publication 2010: 3 publications 2011: 5 publications 2012: 7 publications 2013: 5 publications 2014: 3 publications 2015: 10 publications 2016: 7 publications 2017: 11 publications 2018: 5 publications 2019: 3 publications 2020: 17 publications 2021: 1 publication 2022: 6 publications 2023: 4 publications 2024: 5 publications 2025: 1 publication
1981 2025

292 publications in total across all disciplines

View publications per year as a table
Walter Van Assche: publications per year, 1981 to 2025
Year Publications
1981 1
1982 2
1983 0
1984 0
1985 4
1986 8
1987 14
1988 5
1989 7
1990 3
1991 6
1992 2
1993 12
1994 11
1995 14
1996 8
1997 3
1998 7
1999 9
2000 11
2001 15
2002 1
2003 15
2004 8
2005 13
2006 10
2007 5
2008 4
2009 1
2010 3
2011 5
2012 7
2013 5
2014 3
2015 10
2016 7
2017 11
2018 5
2019 3
2020 17
2021 1
2022 6
2023 4
2024 5
2025 1
Total 292
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Walter Van Assche publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Walter Van Assche sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 267–271 publications, is where this scientist sits. 42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 268 publications — 81st percentile

81% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33 268
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
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Walter Van Assche D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Walter Van Assche sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 45 D-Index, is where this scientist sits. 30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 45 D-Index — 61st percentile

61% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112 45
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
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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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