Slides of Tom Koornwinder's lectures
Bispectrality and dual addition formulas,
R.P. Agarwal Memorial Lecture at
ICSFA-2017, Bikaner, Rajasthan, India, 2 November 2017.
(last modified 4 January 2018)
Dual addition formula for Gegenbauer polynomials,
Lecture on 20 March 2017 in the
Faculty of Mathematics, University of Vienna.
(last modified 5 April 2017).
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.
(last modified 15 August 2016).
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.
(last modified 23 March 2016).
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.
(last modified 11 May 2015).
Some remarks about Koornwinder polynomials
lecture on 3 March 2015 at the
Representation Theory, Special Functions and Painlevé Equations,
RIMS, Kyoto, Japan, March 3-6, 2015.
(last modified 13 March 2015).
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.
(last modified 3 March 2015).
Hypergroups made concrete for special orthogonal polynomials, a survey,
lecture on 18 June 2014 at the
Orthogonal Polynomials and Hypergroups,
Toulouse, France, 18-19 June 2014.
(last modified 23 June 2014).
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.
(last modifed 30 July 2015).
Mittag-Leffler, the man, the mathematician and his network,
Mathematics Colloquium, University of Groningen, 11 March 2014.
(last modified 12 August 2015).
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.
(last modified 17 June 2014).
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.
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).
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.
(last modified 18 April 2013).
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.
(last modified 25 February, 2013)
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.
of slides (last modified September 26, 2014).
of Extended Abstract.
Nonsymmetric Askey-Wilson polynomials as vector-valued polynomials,
lecture on 17 September 2010 during the
Symmetry, Separation, Super-integrability and Special Functions
in honor of Willard Miller on the occasion of his retirement,
University of Minnesota, Minneapolis, MN, USA, 17–19 September 2010.
(last modified 28 September 2010).
The Askey scheme as a four-manifold with corners,
lecture on 14 September 2010 at Graduate Center, City University of New York.
A=B, Identiteiten in de wiskunde (in Dutch),
lunchlezing De Leidsche Flesch, 16 april 2009.
(last modified 17 April 2009).
Zhedanov's Askey-Wilson algebra, Cherednik's double affine Hecke algebras,
a course of 3 lectures during the
International Mathematical Meeting on
Harmonic Analysis & Partial Differential Equations,
Marrakech, Morocco, 1–4 April, 2009.
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.
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.
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
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.
Structure relation and raising/lowering operators for orthogonal
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).
A distant mirror: my joint paper with Aad after 35 years,
lecture on 24 February 2006,
Dijksma Conference, Groningen, Netherlands,
23–24 February 2006.
to Tom Koornwinder's home page