Societies and conference series
- Bateman project
Digital Library of Mathematical Functions (DLMF)
Some basic hypergeometric
orthogonal polynomials that generalize Jacobi polynomials by
R. Askey and J. Wilson, Mem. Amer. Math. Soc. 54 (1985), no. 319.
Hypergeometric orthogonal polynomials and their q-analogues
by Roelof Koekoek,
Peter A. Lesky and René Swarttouw;
Chapters 9 (Hypergeometric orthogonal polynomials) and 14
(Basic hypergeometric polynomials) of the above
book are a slightly extended and updated version of
of hypergeometric orthogonal polynomials and its q-analogue
R. Koekoek & R.F. Swarttouw,
Report no. 98-17, 1998, Delft Technical University.
Online version of the above report
Askey scheme and q-Askey scheme charts in various formats
Askey scheme with pictures (jpg file)
His life and his orthogonal polynomials, paper by Paul Butzer
and Tom Koornwinder, Indag. Math. (N.S.) 30 (2019), 250-264;
Historical page in Ukrainian about Krawtchouk
Gradshteyn and Ryzhik,
Table of Integrals, Series, and Products
Handbook of Continued Fractions for Special Functions
(A.A.M. Cuyt, V. Petersen,
B. Verdonk, H. Waadeland, W.B. Jones)
class of symmetric functions by I.G. Macdonald,
Séminaire Lotharingien de Combinatoire, B20a (1988), 41 pp.
Symmetric functions and Hall polynomials
by I.G. Macdonald, Oxford University Press,
Second ed., 1995.
Orthogonal polynomials associated with root systems
by I.G. Macdonald,
Séminaire Lotharingien Combinatoire 45 (2000), B45a, 40 pp.
(from his 1987 manuscript)
Hecke algebras and orthogonal polynomials by I.G. Macdonald,
Séminaire Bourbaki 37 (1994-1995), exp. no. 797 (1995), 189-207.
Affine Hecke algebras
and orthogonal polynomials by I.G. Macdonald,
Cambridge University Press, 2003.
Hypergeometric functions I
and Hypergeometric functions II
(q-analogues) by I.G. Macdonald,
arXiv:1309.4568 and arXiv:1309.5208 (from his manuscripts in 1987 or 1988)
I.G. Macdonald's honorary doctorate at UvA, January 2002.
Macdonald polynomials web page (by Mike Zabrocki)
symmetric functions catalog (by
Generalized Kostka polynomials:
2005 workshop at AIM
Further online tools
to Tom Koornwinder's home page