Encyclopedia of Special Functions: The Askey-Bateman Project
Volume 2. Multivariable Special Functions
$88.99 (C)
- Editors:
- Tom H. Koornwinder, Universiteit van Amsterdam
- Jasper V. Stokman, Universiteit van Amsterdam
- Date Published: November 2020
- availability: Available
- format: Hardback
- isbn: 9781107003736
$
88.99
(C)
Hardback
Other available formats:
eBook
Looking for an examination copy?
This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.
-
This is the second of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume 2 covers multivariable special functions. When the Bateman project appeared, study of these was in an early stage, but revolutionary developments began to be made in the 1980s and have continued ever since. World-renowned experts survey these over the course of 12 chapters, each containing an extensive bibliography. The reader encounters different perspectives on a wide range of topics, from Dunkl theory, to Macdonald theory, to the various deep generalizations of classical hypergeometric functions to the several variables case, including the elliptic level. Particular attention is paid to the close relation of the subject with Lie theory, geometry, mathematical physics and combinatorics.
Read more- A necessary update of the Bateman Manuscript Project for the twenty-first century
- Gives an encyclopedic survey of multivariable special functions, providing an excellent starting point for readers who need guidance to the scattered literature
- Emphasizes the connections between multivariable special functions and other fields, in particular, Lie theory and mathematical physics
Reviews & endorsements
‘Overall the volume is a very useful addition to any research mathematician’s library who works on these topics.’ Manjil Pratim Saikia, zbMATH
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: November 2020
- format: Hardback
- isbn: 9781107003736
- length: 434 pages
- dimensions: 251 x 175 x 28 mm
- weight: 0.89kg
- contains: 17 b/w illus. 6 tables
- availability: Available
Table of Contents
1. General overview of multivariable special functions Tom H. Koornwinder and Jasper V. Stokman
2. Orthogonal polynomials of several variables Yuan Xu
3. Appell and Lauricella hypergeometric functions Keiji Matsumoto
4. A-Hypergeometric functions Nobuki Takayama
5. Hypergeometric and basic hypergeometric series and integrals associated with root systems Michael J. Schlosser
6. Elliptic hypergeometric functions associated with root systems Hjalmar Rosengren and S. Ole Warnaar
7. Dunkl operators and related special functions Charles F. Dunkl
8. Jacobi polynomials and hypergeometric functions associated with root systems Gert J. Heckman and Eric M. Opdam
9. Macdonald–Koornwinder polynomials Jasper V. Stokman
10. Combinatorial aspects of Macdonald and related polynomials Jim Haglund
11. Knizhnik–Zamolodchikov type equations, Selberg integrals, and related special functions Vitaly Tarasov and Alexander Varchenko
12. 9j-Coefficients and higher Joris Van der Jeugt
Index.-
General Resources
Find resources associated with this title
Type Name Unlocked * Format Size Showing of
This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to instructors whose faculty status has been verified. To gain access to locked resources, instructors should sign in to or register for a Cambridge user account.
Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other instructors may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.
Supplementary resources are subject to copyright. Instructors are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.
If you are having problems accessing these resources please contact lecturers@cambridge.org.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×