Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 2, Multivariable Special Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 2, Multivariable Special Functions write by Tom H. Koornwinder. This book was released on 2020-10-15. Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 2, Multivariable Special Functions available 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.
Encyclopedia of Special Functions: The Askey-Bateman Project
Encyclopedia of Special Functions: The Askey-Bateman Project - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Encyclopedia of Special Functions: The Askey-Bateman Project write by Tom H. Koornwinder. This book was released on 2020-09-30. Encyclopedia of Special Functions: The Askey-Bateman Project available 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.
Special Functions
Special Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Special Functions write by George E. Andrews. This book was released on 1999. Special Functions available in PDF, EPUB and Kindle. An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.
Bounded Littlewood Identities
Bounded Littlewood Identities - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bounded Littlewood Identities write by Eric M. Rains. This book was released on 2021-07-21. Bounded Littlewood Identities available 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.
Special Functions
Special Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Special Functions write by George E. Andrews. This book was released on 2014-01-01. Special Functions available 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.
