Encyclopedia Of Special Functions The Askey Bateman Project Volume 2 Multivariable Special Functions PDF Download
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Author | : Tom H. Koornwinder |
Publisher | : Cambridge University Press |
Total Pages | : 442 |
Release | : 2020-10-15 |
Genre | : Mathematics |
ISBN | : 1108916554 |
Download Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 2, Multivariable Special Functions Book in PDF, ePub and Kindle
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.
Author | : Tom H. Koornwinder |
Publisher | : Cambridge University Press |
Total Pages | : 433 |
Release | : 2020-09-30 |
Genre | : Mathematics |
ISBN | : 9781107003736 |
Download Encyclopedia of Special Functions: The Askey-Bateman Project Book in PDF, ePub and Kindle
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.
Author | : George E. Andrews |
Publisher | : Cambridge University Press |
Total Pages | : 684 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 9780521789882 |
Download Special Functions Book in PDF, ePub and Kindle
An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.
Author | : Eric M. Rains |
Publisher | : American Mathematical Soc. |
Total Pages | : 115 |
Release | : 2021-07-21 |
Genre | : Education |
ISBN | : 1470446901 |
Download Bounded Littlewood Identities Book in PDF, ePub and Kindle
We describe a method, based on the theory of Macdonald–Koornwinder polynomials, for proving bounded Littlewood identities. Our approach provides an alternative to Macdonald’s partial fraction technique and results in the first examples of bounded Littlewood identities for Macdonald polynomials. These identities, which take the form of decomposition formulas for Macdonald polynomials of type (R, S) in terms of ordinary Macdonald polynomials, are q, t-analogues of known branching formulas for characters of the symplectic, orthogonal and special orthogonal groups. In the classical limit, our method implies that MacMahon’s famous ex-conjecture for the generating function of symmetric plane partitions in a box follows from the identification of GL(n, R), O(n) as a Gelfand pair. As further applications, we obtain combinatorial formulas for characters of affine Lie algebras; Rogers–Ramanujan identities for affine Lie algebras, complementing recent results of Griffin et al.; and quadratic transformation formulas for Kaneko–Macdonald-type basic hypergeometric series.
Author | : George E. Andrews |
Publisher | : |
Total Pages | : |
Release | : 2014-01-01 |
Genre | : Functions, Special |
ISBN | : 9780521170222 |
Download Special Functions Book in PDF, ePub and Kindle
This volume presents an overview of the area of special functions, focusing primarily on the hypergeometric functions and the associated hypergeometric series.
Author | : Mourad Ismail |
Publisher | : American Mathematical Soc. |
Total Pages | : 289 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 082180524X |
Download Special Functions, $q$-Series and Related Topics Book in PDF, ePub and Kindle
This book contains contributions from the proceedings at The Fields Institute workshop on Special Functions, q-Series and Related Topics that was held in June 1995. The articles cover areas from quantum groups and their representations, multivariate special functions, q-series, and symbolic algebra techniques as well as the traditional areas of single-variable special functions. The book contains both pure and applied topics and reflects recent trends of research in the various areas of special functions.
Author | : Charles F. Dunkl |
Publisher | : Cambridge University Press |
Total Pages | : 439 |
Release | : 2014-08-21 |
Genre | : Mathematics |
ISBN | : 1107071895 |
Download Orthogonal Polynomials of Several Variables Book in PDF, ePub and Kindle
Updated throughout, this revised edition contains 25% new material covering progress made in the field over the past decade.
Author | : Z. X. Wang |
Publisher | : World Scientific |
Total Pages | : 720 |
Release | : 1989 |
Genre | : Mathematics |
ISBN | : 9789971506674 |
Download Special Functions Book in PDF, ePub and Kindle
Contains the various principal special functions in common use and their basic properties and manipulations. Discusses expansions of functions in infinite series and infinite product and the asymptotic expansion of functions. For physicists, engineers, and mathematicians. Acidic paper. Paper edition (unseen), $38. Annotation copyrighted by Book News, Inc., Portland, OR
Author | : Mourad E. H. Ismail |
Publisher | : Springer Science & Business Media |
Total Pages | : 497 |
Release | : 2006-03-30 |
Genre | : Mathematics |
ISBN | : 0387242333 |
Download Theory and Applications of Special Functions Book in PDF, ePub and Kindle
A collection of articles on various aspects of q-series and special functions dedicated to Mizan Rahman. It also includes an article by Askey, Ismail, and Koelink on Rahman’s mathematical contributions and how they influenced the recent upsurge in the subject.
Author | : Nico M. Temme |
Publisher | : John Wiley & Sons |
Total Pages | : 398 |
Release | : 1996-02-22 |
Genre | : Mathematics |
ISBN | : 9780471113133 |
Download Special Functions Book in PDF, ePub and Kindle
This book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, with numerous references to recent literature provided.