6 papers
Automorphisms of the DAHA of type and non-symmetric Askey-Wilson functions
Tom H. Koornwinder, Marta Mazzocco
In this paper we consider the automorphisms of the double affine Hecke algebra (DAHA) of type which have a relatively simple action on the generators and on the pa…
Dick and Liz Askey's visit to U.S.S.R. in 1987, and how the discrete Askey scheme also originated in Russia
Tom H. Koornwinder
This paper describes how the discrete Askey scheme independently arose in Russia and how Askey learned about this. In particular, Askey met main characters in this story, namely Ge…
Additions to the formula lists in "Hypergeometric orthogonal polynomials and their -analogues" by Koekoek, Lesky and Swarttouw
Tom H. Koornwinder
This paper gives a rather arbitrary choice of formulas for (-)hypergeometric orthogonal polynomials which the author missed while consulting Chapters 9 and 14 in the book "Hyper…
On an identity of Chaundy and Bullard. III. Basic and elliptic extensions
Natsuko Hoshi, Makoto Katori, Tom H. Koornwinder +1
The identity by Chaundy and Bullard expresses as a sum of two truncated binomial series in one variable where the truncations depend on two different non-negative integers. We…
Memories of Ian G. Macdonald
Gert Heckman, Tom Koornwinder, Eric Opdam
This is a slightly edited translation of a paper in Dutch which appeared in Nieuw Archief voor Wiskunde (5) 25 (2024), No.2, 87-90 on the occasion of I.G. Macdonald's death in 2023…
Charting the -Askey scheme. III. Verde-Star scheme for
Tom H. Koornwinder
Following Verde-Star, Linear Algebra Appl. 627 (2021), we label families of orthogonal polynomials in the Askey scheme together with their hypergeometric representations by t…