Slides of Tom Koornwinder's lectures
2024
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Symmetric and non-symmetric Askey-Wilson functions and symmetries of the
Askey-Wilson DAHA,
Lecture on 1 May 2024 at the
Hypergeometric and Orthogonal Polynomials Event,
Radboud University Nijmegen, Netherlands, 1-3 May, 2024.
Download pdf (last modified 25 July 2024).
2022
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Dick and Liz Askey's world trip in fall of 1987,
Lecture on 15 June 2022 at the
Richard Askey Day during the 16th OPSFA
conference, online, 13-17 June 2022.
Download pdf.
2021
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Sferische harmonischen, oud en nieuw (in Dutch),
Voordracht tijdens een bijeenkomst in Groningen op 5 november 2021
ter viering van het 50-jarig hoogleraarschap aan de RU Groningen
van prof. dr. Boele Braaksma.
Download pdf
-
A nonsymmetric version of Okounkov's BC-type interpolation Macdonald
polynomials,
Lecture on 18 October 2021 durin the conference
Modern Analysis
related to Root Systems with Applications,
CIRM, Luminy, France, 18-22 October 2021.
Download pdf
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Charting the Askey and q-Askey schemes,
Lecture on 7 January 2021 in the
AMS Special Session on The Legacy of Dick Askey
during the Joint Mathematics Meetings (online),
6-9 January 2021.
Download pdf
(last modified 16 August 2021).
2020
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Charting the Askey and q-Askey schemes,
Lecture on 22 December 2020 at the online
International Conference on Special Functions & Applications
(ICSFA-2020), Lucknow, India, 22-23 December 2020.
Download pdf
(last modified 6 January 2021).
2019
2018
2017
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Bispectrality and dual addition formulas,
R.P. Agarwal Memorial Lecture at
ICSFA-2017, Bikaner, Rajasthan, India, 2 November 2017.
Download pdf
(last modified 27 March 2018)
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Dual addition formula for Gegenbauer polynomials,
Lecture on 20 March 2017 in the
Mathematical Physics
Seminar,
Faculty of Mathematics, University of Vienna.
Download pdf
(last modified 5 April 2017).
2016
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Addition type formulas associated with dual product formulas,
contributed lecture on
11 August 2016 at the conference
Dunkl operators, special functions and harmonic analysis,
Universität Paderborn, Germany, 8-12 August 2016.
Download pdf
(last modified 15 August 2016).
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Solutions of the system of pde's for Appell hypergeometric F2,
a tribute to Per O.M. Olsson,
lecture on 17 March 2016, session on Spectral Theory and Applications,
27th Nordic Congress of Mathematicians, Stockholm, Sweden.
Download pdf
(last modified 23 March 2016).
2015
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Fractional integral and generalized Stieltjes transforms
for hypergeometric functions as transmutation operators,
lecture on 10 May 2015 at the
International Conference on Orthogonal Polynomials and q-Series,
Orlando, Florida, May 10-12, 2015.
Download pdf
(last modified 11 May 2015).
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Some remarks about Koornwinder polynomials
lecture on 3 March 2015 at the
conference
Representation Theory, Special Functions and Painlevé Equations,
RIMS, Kyoto, Japan, March 3-6, 2015.
Download pdf
(last modified 13 March 2015).
2014
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Okounkov's BC-type interpolation Macdonald polynomials and their q=1
limit, lectures at the 30th International Colloquium on
Group Theoretical Methods in Physics, Gent, Belgium, 14-18 July 2014,
at the conference Exact Solvability and Symmetry Avatars,
Montréal, Canada, 25-29 August 2014,
and in the Representation Theory Seminar, University of Amsterdam,
30 October 2014.
Download pdf
(last modified 3 March 2015).
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Hypergroups made concrete for special orthogonal polynomials, a survey,
lecture on 18 June 2014 at the
Colloque
Orthogonal Polynomials and Hypergroups,
Toulouse, France, 18-19 June 2014.
Download pdf
(last modified 23 June 2014).
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Jacobi polynomials associated with root systems via
trigonometric Dunkl operators,
First of three lectures at the 72nd Séminaire Lotharingien de Combinatoire,
Lyon, France, 24-26 March 2014.
Download pdf
(last modifed 30 July 2015).
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Mittag-Leffler, the man, the mathematician and his network,
Mathematics Colloquium, University of Groningen, 11 March 2014.
Download pdf
(last modified 12 August 2015).
2013
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Dick Askey's positive addition to Amsterdam,
lecture on 7 December 2013 at the
conference Dick Askey's 80th, Madison, Wisconsin, USA,
6-7 December 2013.
Download pdf
(last modified 17 June 2014).
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Open access, maybe not the hottest issue for math publishing,
presentation at the meeting
Open Access versus Commercial Publishing in Mathematics and Computer
Science, KNAW, Section Mathematics, 15 May 2013.
Download pdf.
2012
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Sklyanin algebra,
lectures on 12 November and 17 December 2012 at the
Seminar on Elliptic integrable systems and hypergeometric functions,
Radboud University, Nijmegen.
Download pdf of part 1.
Download pdf of part 2
(last modified 24 January 2014).
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Limits for BC Jacobi polynomials,
lecture on 10 September 2012 at the
Conference on Harmonic Analysis,
Convolution Algebras, and Special Functions,
Technische Universität München, 9-14 September, 2012.
Download pdf
(last modified 18 April 2013).
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Orthogonal polynomials,
Series of two lectures at the
Summer School on Integration, Summation and Special Functions in
Quantum Field Theory,
RISC, Linz, Austria, 9-13 July 2012.
Download pdf
(last modified 25 February, 2013)
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Orthogonal polynomials in several variables potentially useful in pde,
lecture on 17 January 2012 during the Oberwolfach workshop
Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation
Laws and their Use in Science and Engineering,
16–20 January 2012.
Download pdf
of slides (last modified September 26, 2014).
Download pdf
of Extended Abstract.
2011
2010
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Nonsymmetric Askey-Wilson polynomials as vector-valued polynomials,
lecture on 17 September 2010 during the
Symmetry, Separation, Super-integrability and Special Functions
(S4) Conference,
in honor of Willard Miller on the occasion of his retirement,
University of Minnesota, Minneapolis, MN, USA, 17–19 September 2010.
Download pdf
(last modified 28 September 2010).
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The Askey scheme as a four-manifold with corners,
lecture on 14 September 2010 at Graduate Center, City University of New York.
Download pdf.
2009
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A=B, Identiteiten in de wiskunde (in Dutch),
lunchlezing De Leidsche Flesch, 16 april 2009.
Download pdf
(last modified 17 April 2009).
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Zhedanov's Askey-Wilson algebra, Cherednik's double affine Hecke algebras,
and bispectrality,
a course of 3 lectures during the
International Mathematical Meeting on
Harmonic Analysis & Partial Differential Equations,
Marrakech, Morocco, 1–4 April, 2009.
Download pdf:
2008
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The hierarchy of hypergeometric functions,
lecture on 17 March, 2008, during the
16ème colloque de la SMT
(Société Mathématique de Tunisie), Sousse, Tunisia,
17–20 March 2008.
Download pdf.
2007
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The hierarchy of hypergeometric functions and related algebras,
lecture on 20 December 2007, during the
International Conference on
Number Theory, Theoretical Physics and Special Functions,
Kumbakonam, Tamilnadu, India, 20–22 December 2007.
Download pdf.
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Askey-Wilson polynomials, AW(3) and DAHA,
lecture on 13 September 2007, during the
workshop Applications of Macdonald Polynomials,
Banff International Research Station, Alberta, Canada, 9–14
September 2007.
Download pdf.
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Askey-Wilson polynomials and an embedding of Zhedanov's algebra AW(3)
in a double affine Hecke algebra,
lecture on 2 July 2007, during the
9th Conference on Orthogonal Polynomials,
Special Functions and Applications (OPSFA9),
Marseille, France, 2–6 July 2007.
Download pdf.
2006
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Structure relation and raising/lowering operators for orthogonal
polynomials,
lecture on 23 June 2006, during the conference
FPSAC 2006 (San Diego, California, USA, 19–23 June 2006).
Download pdf (last modified 21 April 2008).
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A distant mirror: my joint paper with Aad after 35 years,
lecture on 24 February 2006,
during the
Dijksma Conference, Groningen, Netherlands,
23–24 February 2006.
Download pdf.
2002
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Algebraic methods: Lie groups, quantum groups,
lecture on 25 July 2002, during the conference
Special Funcions in the Digital Age, IMA, Minneapolis, MN.
Download pdf of expanded version
(last modified 25 July 2002)
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