Askey–Bateman project
The Askey–Bateman Project is an Encyclopedia of Special Functions
in three volumes, published and to be published by Cambridge University Press.
The series editors are
Mourad Ismail
and
Walter Van Assche.
Each volume has its own editor(s).
-
Volume I: Orthogonal Polynomials
(volume editor Mourad Ismail),
published September 2020.
-
Volume II: Multivariable Special Functions
(volume editors
Tom H. Koornwinder and
Jasper V. Stokman),
published October 2020.
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Chapter 1. General overview
by Tom H. Koornwinder and Jasper V. Stokman.
-
Chapter 2.
Orthogonal polynomials of several variables
by Yuan Xu
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Chapter 3.
Appell and Lauricella hypergeometric functions
by Keiji Matsumoto
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Chapter 4.
A-Hypergeometric functions
by Nobuki Takayama
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Chapter 5.
Hypergeometric and basic hypergeometric series and integrals associated
with root systems
by Michael J. Schlosser
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Chapter 6.
Elliptic hypergeometric functions associated with root
systems
by Hjalmar Rosengren and S. Ole Warnaar
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Chapter 7.
Dunkl operators and related special functions
by Charles F. Dunkl
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Chapter 8.
Jacobi polynomials and hypergeometric functions associated
with root systems
by Gert J. Heckman and Eric M. Opdam
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Chapter 9.
Macdonald–Koornwinder polynomials by Jasper V. Stokman
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Chapter 10.
Combinatorial aspects of Macdonald and related polynomials
by Jim Haglund
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Chapter 11.
Knizhnik–Zamolodchikov type equations, Selberg integrals,
and related special functions
by Vitaly Tarasov and Alexander Varchenko
-
Chapter 12.
9j-Coefficients and higher
by Joris Van der Jeugt
See also errata and additions.
See also a
review by
Erik Koelink in
Nieuw Archief voor Wiskunde (5) 24 (2023), no. 2, pp. 121-122.
-
Volume III: Hypergeometric and Basic Hypergeometric Functions
(volume editor Mourad Ismail), in preparation.
to Tom Koornwinder's home page
