2026 Tom H. Koornwinder: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	43	1682	1455	23	19	139	8644

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1682

1455

139

8644

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

484
Citations
Jacobi Functions and Analysis on Noncompact Semisimple Lie Groups

Tom H. Koornwinder

404
Citations
A new proof of a Paley—Wiener type theorem for the Jacobi transform

Tom Koornwinder

329
Citations
On q-analogues of the Fourier and Hankel transforms

Tom H. Koornwinder;René F. Swarttouw

316
Citations
Askey-Wilson polynomials for root systems of type BC

T.H. Koornwinder

288
Citations
Askey-Wilson polynomials as zonal spherical functions on the SU (2) quantum group

Tom H. Koornwinder

266
Citations
The convolution structure for Jacobi function expansions

Mogens Flensted-Jensen;Tom Koornwinder

252
Citations
Orthogonal polynomials in two variables which are eigenfunctions of two algebraically independent partial differential operators. III

Tom H Koornwinder

236
Citations
Orthogonal Polynomials With Weight Function (1 - x) α ( l + x) β + M δ(x + 1) + Nδ(x - 1)

Unknown

222
Citations
CQG algebras: a direct algebraic approach to compact quantum groups

Mathijs S. Dijkhuizen;Tom H. Koornwinder

191
Citations
Orthogonal polynomials in connection with quantum groups

Tom H. Koornwinder

161
Citations
Representations of the twisted SU(2) quantum group and some q-hypergeometric orthogonal polynomials

T.H. Koornwinder

158
Citations
Special Functions: Group Theoretical Aspects and Applications

Richard Askey;T. H. Koornwinder;Walter Schempp

152
Citations
Wavelets : an elementary treatment of theory and applications

Tom H Koornwinder

140
Citations
Quantum homogeneous spaces, duality, and quantum 2-spheres

Mathijs S. Dijkhuizen;Tom H. Koornwinder

126
Citations
On Zeilberger's algorithm and its q -analogue

Tom H. Koornwinder

120
Citations
The Addition Formula for Jacobi Polynomials and Spherical Harmonics

Tom Koornwinder

119
Citations
$q$-special functions, a tutorial

H.T. Koelink;T.H. Koornwinder

115
Citations
Compact quantum groups and q-special functions

T.H. Koornwinder

111
Citations
Positivity Proofs for Linearization and Connection Coefficients of Orthogonal Polynomials Satisfying an Addition Formula

Tom Koornwinder

103
Citations
On Zeilberger's algorithm and its q-analogue: a rigorous description

T.H. Koornwinder

20
Citations

Frequent Co-Authors

Richard Askey University of Wisconsin–Madison

Paul L. Butzer RWTH Aachen University

Gerald Teschl University of Vienna

Walter Van Assche KU Leuven

Stefan A. Sauter University of Zurich

Mourad E. H. Ismail University of Louisiana at Lafayette

External Links

Wikipedia of Tom H. Koornwinder Personal website of Tom H. Koornwinder

If you think any of the details on this page are incorrect, let us know.

Related Online Degrees & Career Pathways

Studying Mathematics in the USA opens doors to diverse career pathways, many of which benefit from complementary online degrees. For professionals aiming to enhance their business acumen alongside their math skills, pursuing a 1 year mba programs can be an efficient way to fast-track leadership roles.

Additionally, flexibility is crucial for online learners. Several mba programs that accept transfer credits provide students opportunities to leverage previous coursework, saving time and costs while advancing their education.

Mathematics graduates often gravitate toward data-driven fields, making a best masters in data analytics programs an attractive option to sharpen analytic and technical skills vital for roles in finance, tech, and research.

For those seeking accessible online education, exploring some of the easiest mba programs to get into can be a practical starting point, enabling smoother admissions while building valuable credentials. Combining mathematical expertise with strategic business knowledge positions graduates well for dynamic, interdisciplinary careers.