Special functions

SIAM Activity Group on Orthogonal Polynomials and Special Functions
 Bateman project

DLMF (Digital Library of Mathematical Functions)

Handbook of Mathematical Functions, Abramowitz and Stegun

AskeyBateman project

DRMF
(NIST Digital Repository of Mathematical Formulae)

Information about the book
Hypergeometric Orthogonal Polynomials and Their qAnalogues
by Roelof Koekoek, Peter A. Lesky and RenĂ© Swarttouw;
SpringerVerlag, 2010.
On that page also downloads of the Askey scheme and the qAskey scheme
in various formats.
Chapters 9 and 14 in this book are a slightly extended and updated version
of the report
The Askeyscheme of hypergeometric orthogonal polynomials
and its qanalogue
by R. Koekoek & R.F. Swarttouw. It is
Report no. 9817, 1998, Delft Technical University.
See
further information and downloads
or browse the
online version.

Bibliography of Elliptic Hypergeometric Functions (by Hjalmar Rosengren)

Askey scheme with pictures (jpg file)

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)

The Heun Project

Chromatic Derivatives and Chromatic Approximations Home Page
(Aleksandar Ignjatovic)

OPSFA history
(history of the European conferences on Orthogonal Polynomials,
Special Functions, and Applications)

The SASTRA Ramanujan prize
is given annually to a mathematician not exceeding the age
of 32 for outstanding contributions in an area of mathematics
influenced by Srinivasa Ramanujan.

The Wolfram Functions Site

Future directions in special functions,
summary by Walter Van Assche of a session on Friday, June 9, 2000 at the
NATO Advanced Study Institute on "Special functions
2000: Present Perspectives and Future Directions", Tempe, Arizona, USA.
Extract from
OPSF Net 7.4

Research perspectives in Special functions,
account of a panel discussion held on Thursday, June 24, 1999,
5.006.30 p.m. during the International Workshop on Special Functions,
Asymptotics, Harmonic Analysis, and Mathematical Physics at the City
University of Hong Kong.
Extract from
OPSF Net 6.5

Special Issue of the
Journal of Symbolic Computation on
Orthogonal Polynomials and Computer Algebra
(Vol.28 (1999), No.6)

Why are special functions special? by Michael Berry,
in Physics Today 54 (2001), no.4, 1112.

The 1987 preprint "Orthogonal polynomials associated with root systems"
by I.G. Macdonald is online. It appeared in
Séminaire Lotharingien Combinatoire 45 (2000), Article B45a
(40 pp.) and it is also downloadable as
arXiv:math.QA/0011046.

I.G. Macdonald's honorary doctorate at UvA, January 2002.

Macdonald polynomials web page (by Mike Zabrocki)

Macdonald polynomials hotlist (by Mike Zabrocki)

CAOP: Computer Algebra and Orthogonal Polynomials

DDMF
(Dynamical Dictionary of Mathematical Functions)

The Integrator (Mathematica)

Sloane's OnLine Encyclopedia of Integer Sequences (OEIS)

Inverse Symbolic Calculator (Centre
for Experimental and Constructive Mathematics)

Gabor Szegö home page

Krawtchouk Polynomials Home Page
(or mirror site)

Peter A. Lesky,
Eine Charakterisierung der klassischen kontinuierlichen,
diskreten und qOrthogonalpolynome,
ISBN 3832237968,
Shaker Verlag, 2005.

OPQ:
a Matlab suite of programs for generating orthogonal polynomials and
related quadrature rules by
Walter Gautschi

Numbers, constants and computation (by Xavier Gourdon and Pascal Sebah)

Gamma Values,
value of the Gamma function for some rational arguments.

Errata to the book
An introduction to basic Fourier series
by S.K. Suslov, Kluwer, 2003.

Open Math Content Dictionaries: Special Functions
maintained by Bill Naylor.
See also
Special Functions Content Dictionary
mainained by Stephen M. Watt
(the source XML).
See also the related ps file
According to Abramowitz and Stegun or How arcoth can be Couth
by R.M. Corless, D.J. Jeffrey, S.M. Watt and J.H. Davenport
(produced by dvips from the no longer existing URL
http://www.csd.uwo.ca/~jhd/Branch.dvi)

4 June 2013 was Dick Askey's 80th birthday.
See
a picture gallery for Dick.

Society for Special Functions and Their Applications (India)

Foundations of Computational Mathematics
1to Tom Koornwinder's home page