Special functions

• SIAM Activity Group on Orthogonal Polynomials and Special Functions
• Askey-Bateman project
• DLMF Digital Library of Mathematical Functions
• Information about the book Hypergeometric Orthogonal Polynomials and Their q-Analogues by Roelof Koekoek, Peter A. Lesky and René Swarttouw; Springer-Verlag, 2010.
  On that page also downloads of the Askey scheme and the q-Askey scheme in various formats.
  Chapters 9 and 14 in this book are a slightly extended and updated version of the report The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue by R. Koekoek & R.F. Swarttouw. It is Report no. 98-17, 1998, Delft Technical University. See further information and downloads or browse the online version.
• Askey scheme with pictures (jpg file)
• Gradshteyn and Ryzhik, Table of Integrals, Series, and Products
  • Home Page
  • electronic version (sciencedirect, not free)
  • Daniel Zwillinger's errata page
  • Proofs of some of the formulas (by Victor Hugo Moll)
• Handbook of Continued Fractions for Special Functions (A.A.M. Cuyt, V. Petersen, B. Verdonk, H. Waadeland, W.B. Jones)
  • book at Springer-Verlag (2008)
  • online software
• Chromatic Derivatives and Chromatic Approximations Home Page (Aleksandar Ignjatovic)
• OPSFA history (history of the European conferences on Orthogonal Polynomials, Special Functions, and Applications)
• The 2009 SASTRA Ramanujan prize has been awarded to Kathrin Bringmann.
  This 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 OP-SF Net 7.4
• Research perspectives in Special functions, account of a panel discussion held on Thursday, June 24, 1999, 5.00-6.30 p.m. during the International Workshop on Special Functions, Asymptotics, Harmonic Analysis, and Mathematical Physics at the City University of Hong Kong.
  Extract from OP-SF 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, 11-12.
• 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)
• The Integrator (Mathematica)
• Sloane's On-Line Encyclopedia of Integer Sequences
• 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 q-Orthogonalpolynome,
  ISBN 3-8322-3796-8, 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 1998 was Dick Askey's 65th birthday. See a picture gallery for Dick (this takes a long loading time).
• Society for Special Functions and Their Applications (India)
• Foundations of Computational Mathematics

Last modified: Saturday, 26-Nov-2011 12:10:45 CET