Tom Koornwinder's informal papers

Additions to the formula lists in "Hypergeometric orthogonal polynomials
and their qanalogues" by Koekoek, Lesky and Swarttouw.
An update of
arXiv:1401.0815v2
is available here (last modified 23 May 2024):
pdf, latex source.

Additions to the
NIST Digital Library of
Mathematical Functions (DLMF),
pdf file, last modified 12 January 2024.

An alternative proof of Brafman's generating function for
Legendre polynomials, 2 pages,
26 July 2013, note added on 21 December 2018:
pdf file.

A hypergeometric evaluation connected with the birthday problem,
pdf file, 1 page,
last modified 22 November 2011.

On a product expansion of two Legendre functions conjectured by
S. de Haro and A. C. Petkou,
pdf file,
4 pages, last modified 17 April 2007;
slightly expanded version of
Appendix E to the paper:
S. de Haro and A.C. Petkou,
Instantons and conformal holography,
J. High Energy Phys. 12 (2006), paper 076;
arXiv:hepth/0606276v3.

A fractional generalisation of an operational formula and the Gauss
hypergeometric function,
pdf file,
2 pages, last modified 9 May 2013.

On $q^{1}$AlSalamChihara polynomials,
pdf file, 4 pages, January 29, 2004.

On two questions by P.J. Larcombe,
pdf file,
4 pages, last modified 12 January 2001.

Some simple applications and variants of the qbinomial formula,
pdf file, 3 pages,
last modified 9 November 1999.

The qJacobi transform,
informal notes, October 1992.
Download pdf.

Selfduality for qultraspherical polynomials associated with
root system A_n,
unpublished manuscript, February 2, 1988, 17 pp.,
scanned as pdf file.
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