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D-Index & Metrics

Mathematics

D-Index
43
Citations
8644
World Ranking
1682
National Ranking
23

Tom H. Koornwinder 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 Tom H. Koornwinder sits on this spectrum.

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 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 139 publications — 32nd percentile

32% of scientists in this discipline score the same or lower.

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

Tom H. Koornwinder 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 Tom H. Koornwinder sits on this spectrum.

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: 43 D-Index — 54th percentile

54% of scientists in this discipline score the same or lower.

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

Overview

Tom H. Koornwinder is affiliated with the University of Amsterdam in the Netherlands. Their research spans various areas within mathematics and computer science, focusing primarily on applied mathematics, algebra, and computational theory.

Their main fields of study include:

  • Mathematics
  • Computer Science

Subfields associated with their work cover:

  • Applied Mathematics
  • Computational Theory and Mathematics
  • Algebra and Number Theory
  • Statistical and Nonlinear Physics
  • Discrete Mathematics and Combinatorics

Koornwinder's research frequently addresses topics such as:

  • Mathematical functions and polynomials
  • Polynomial and algebraic computation
  • Nonlinear Waves and Solitons
  • Advanced Mathematical Identities
  • Advanced Combinatorial Mathematics
  • Advanced Algebra and Geometry
  • Algebraic Geometry and Number Theory

Recent publications demonstrate an ongoing study of special functions and algebraic structures. Select papers include:

  • Charting the -Askey scheme, 2022, Contemporary mathematics - American Mathematical Society
  • Charting the q-Askey scheme. II. The q-Zhedanov scheme, 2022, Indagationes Mathematicae
  • Charting the $q$-Askey scheme. II. The $q$-Zhedanov scheme, 2022, arXiv (Cornell University)
  • Memories of Ian G. Macdonald, 2025, The Quarterly Journal of Mathematics
  • Dual addition formulas: the case of continuous q-ultraspherical and q-Hermite polynomials, 2021, The Ramanujan Journal

Frequent co-authors collaborating with Koornwinder include:

  • Eric Opdam
  • Natsuko Hoshi
  • Makoto Katori
  • Michael J. Schlosser
  • Marta Mazzocco

Publications often appear in venues such as:

  • arXiv (Cornell University)
  • Indagationes Mathematicae
  • Contemporary mathematics - American Mathematical Society
  • The Quarterly Journal of Mathematics
  • The Ramanujan Journal

Best Publications

  • Two-Variable Analogues of the Classical Orthogonal Polynomials

    Tom Koornwinder

  • Jacobi Functions and Analysis on Noncompact Semisimple Lie Groups

    Tom H. Koornwinder

  • A new proof of a Paley—Wiener type theorem for the Jacobi transform

    Tom Koornwinder

  • On q-analogues of the Fourier and Hankel transforms

    Tom H. Koornwinder;René F. Swarttouw

  • Askey-Wilson polynomials for root systems of type BC

    T.H. Koornwinder

  • Askey-Wilson polynomials as zonal spherical functions on the SU (2) quantum group

    Tom H. Koornwinder

  • The convolution structure for Jacobi function expansions

    Mogens Flensted-Jensen;Tom Koornwinder

  • Orthogonal polynomials in two variables which are eigenfunctions of two algebraically independent partial differential operators. III

    Tom H Koornwinder

  • Orthogonal Polynomials With Weight Function (1 - x) α ( l + x) β + M δ(x + 1) + Nδ(x - 1)

    Unknown

  • CQG algebras: a direct algebraic approach to compact quantum groups

    Mathijs S. Dijkhuizen;Tom H. Koornwinder

  • Orthogonal polynomials in connection with quantum groups

    Tom H. Koornwinder

  • Representations of the twisted SU(2) quantum group and some q-hypergeometric orthogonal polynomials

    T.H. Koornwinder

  • Special Functions: Group Theoretical Aspects and Applications

    Richard Askey;T. H. Koornwinder;Walter Schempp

  • Wavelets : an elementary treatment of theory and applications

    Tom H Koornwinder

  • Quantum homogeneous spaces, duality, and quantum 2-spheres

    Mathijs S. Dijkhuizen;Tom H. Koornwinder

  • On Zeilberger's algorithm and its q -analogue

    Tom H. Koornwinder

  • The Addition Formula for Jacobi Polynomials and Spherical Harmonics

    Tom Koornwinder

  • $q$-special functions, a tutorial

    H.T. Koelink;T.H. Koornwinder

  • Compact quantum groups and q-special functions

    T.H. Koornwinder

  • Positivity Proofs for Linearization and Connection Coefficients of Orthogonal Polynomials Satisfying an Addition Formula

    Tom Koornwinder

  • On Zeilberger's algorithm and its q-analogue: a rigorous description

    T.H. Koornwinder

Frequent Co-Authors

Richard Askey
Richard Askey University of Wisconsin–Madison
Paul L. Butzer
Paul L. Butzer RWTH Aachen University
Gerald Teschl
Gerald Teschl University of Vienna
Stefan A. Sauter
Stefan A. Sauter University of Zurich
Mourad E. H. Ismail
Mourad E. H. Ismail University of Louisiana at Lafayette

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