Tom Koornwinder's informal papers
Additions to the
NIST Digital Library of
pdf file, last modified 2 October 2015.
Additions to the formula lists in "Hypergeometric orthogonal polynomials
and their q-analogues" by Koekoek, Lesky and Swarttouw.
An update of
is available here (last modified 19 June 2015):
pdf, latex source.
An alternative proof of Brafman's generating function for
Legendre polynomials, 2 pages,
26 July 2013, note added on 21 December 2018:
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,
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;
A fractional generalisation of an operational formula and the Gauss
2 pages, last modified 9 May 2013.
On two questions by P.J. Larcombe,
4 pages, last modified 12 January 2001.
Some simple applications and variants of the q-binomial formula,
pdf file, 3 pages,
last modified 9 November 1999.
The q-Jacobi transform,
informal notes, October 1992.
Self-duality for q-ultraspherical polynomials associated with
root system A_n,
unpublished manuscript, February 2, 1988, 17 pp.,
scanned as pdf file.
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