Encyclopedia of Special Functions: The Askey-Bateman Project

doi:10.1017/9780511777165

- Get access
  
  Buy a print copy
  
  Check if you have access via personal or institutional login
  
  Log in Register
Cited by 3
Cited by
- 3
Crossref Citations

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Chestnov, Vsevolod Matsubara-Heo, Saiei J. Munch, Henrik J. and Takayama, Nobuki 2023. Restrictions of Pfaffian systems for Feynman integrals. Journal of High Energy Physics, Vol. 2023, Issue. 11,

CrossRef

Google Scholar

Yamaguchi, Kohei and Yanagida, Shintarou 2023. Specializing Koornwinder polynomials to Macdonald polynomials of type B, C, D and BC. Journal of Algebraic Combinatorics, Vol. 57, Issue. 1, p. 171.

CrossRef

Google Scholar

Ball, Adam De, Shounak Srikant, Akshay Yelleshpur and Volovich, Anastasia 2024. Scalar-graviton amplitudes and celestial holography. Journal of High Energy Physics, Vol. 2024, Issue. 2,

CrossRef

Google Scholar

Volume 2: Multivariable Special Functions
Edited by Tom H. Koornwinder, Universiteit van Amsterdam, Jasper V. Stokman, Universiteit van Amsterdam

Publisher:: Cambridge University Press
Online publication date:: September 2020
Print publication year:: 2020
Online ISBN:: 9780511777165
DOI:: https://doi.org/10.1017/9780511777165

Subjects:: Mathematics, Abstract Analysis, Numerical Analysis and Computational Science

66.99 (GBP)

Digital access for individuals
(PDF download and/or read online)
Add to cart

Added to cart

Digital access for individuals
(PDF download and/or read online)
View cart
Export citation
Buy a print copy

Information

Contents

Metrics

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.

‘Overall the volume is a very useful addition to any research mathematician’s library who works on these topics.’

Manjil Pratim Saikia Source: zbMATH

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Metrics

Altmetric attention score

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Encyclopedia of Special Functions: The Askey-Bateman Project

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Book description

Reviews

Refine List

Actions for selected content:

Contents

Frontmatter
pp i-iv

Contents
pp v-viii

List of Contributors
pp ix-x

Preface
pp xi-xii

1 - General Overview of Multivariable Special Functions
pp 1-18

2 - Orthogonal Polynomials of Several Variables
pp 19-78

3 - Appell and Lauricella Hypergeometric Functions
pp 79-100

4 - A-Hypergeometric Functions
pp 101-121

5 - Hypergeometric and Basic Hypergeometric Series and Integrals Associated with Root Systems
pp 122-158

6 - Elliptic Hypergeometric Functions Associated with Root Systems
pp 159-186

7 - Dunkl Operators and Related Special Functions
pp 187-216

8 - Jacobi Polynomials and Hypergeometric Functions Associated with Root Systems
pp 217-257

9 - Macdonald–Koornwinder Polynomials
pp 258-313

10 - Combinatorial Aspects of Macdonald and Related Polynomials
pp 314-367

11 - Knizhnik–Zamolodchikov-Type Equations, Selberg Integrals and Related Special Functions
pp 368-401

12 - 9 j-Coefficients and Higher
pp 402-419

Index
pp 420-428

Metrics

Altmetric attention score

Full text views

Book summary page views

Encyclopedia of Special Functions: The Askey-Bateman Project

Book description

Reviews

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Altmetric attention score

Full text views

Book summary page views