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Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications

1992 Mathematics
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Release : 1992
Genre : Mathematics
Kind : eBook
Book Rating : 594/5 ( reviews)

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Book Synopsis Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications by : Donald St. P. Richards

Download or read book Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications written by Donald St. P. Richards. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first set of proceedings to be devoted entirely to the theory of hypergeometric functions defined on domains of positivity. Most of the scientific areas in which these functions are applied include analytic number theory, combinatorics, harmonic analysis, random walks, representation theory, and mathematical physics - are represented here. This volume is based largely on lectures presented at a Special Session at the AMS meeting in Tampa, Florida in March 1991, which was devoted to hypergeometric functions of matrix argument and to fostering communication among representatives of the diverse scientific areas in which these functions are utilized. Accessible to graduate students and others seeking an introduction to the state of the art in this area, this book is a suitable text for advanced graduate seminar courses for it contains many open problems.

Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 2, Multivariable Special Functions

2020-10-15 Mathematics
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Release : 2020-10-15
Genre : Mathematics
Kind : eBook
Book Rating : 554/5 ( reviews)

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Book Synopsis Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 2, Multivariable Special Functions by : Tom H. Koornwinder

Download or read book Encyclopedia of Special Functions: The Askey-Bateman Project: Volume 2, Multivariable Special Functions written by Tom H. Koornwinder. This book was released on 2020-10-15. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Jack, Hall-Littlewood and Macdonald Polynomials

2006 Mathematics
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Release : 2006
Genre : Mathematics
Kind : eBook
Book Rating : 838/5 ( reviews)

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Book Synopsis Jack, Hall-Littlewood and Macdonald Polynomials by : Vadim B. Kuznetsov

Download or read book Jack, Hall-Littlewood and Macdonald Polynomials written by Vadim B. Kuznetsov. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: The subject of symmetric functions began with the work of Jacobi, Schur, Weyl, Young and others on the Schur polynomials. In the 1950's and 60's, far-reaching generalizations of Schur polynomials were obtained by Hall and Littlewood (independently) and, in a different direction, by Jack. In the 1980's, Macdonald unified these developments by introducing a family of polynomials associated with arbitrary root systems. The last twenty years have witnessed considerable progress in this area, revealing new and profound connections with representation theory, algebraic geometry, combinatorics, special functions, classical analysis and mathematical physics. All these fields and more are represented in this volume, which contains the proceedings of a conference on Jack, Hall-Littlewood and Macdonald polynomials held at ICMS, Edinburgh, during September 23-26, 2003. of historical material, including brief biographies of Hall, Littlewood, Jack and Macdonald; the original papers of Littlewood and Jack; notes on Hall's work by Macdonald; and a recently discovered unpublished manuscript by Jack (annotated by Macdonald). The book will be invaluable to students and researchers who wish to learn about this beautiful and exciting subject.

Theory and Applications of Special Functions

2006-03-30 Mathematics
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Release : 2006-03-30
Genre : Mathematics
Kind : eBook
Book Rating : 333/5 ( reviews)

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Book Synopsis Theory and Applications of Special Functions by : Mourad E. H. Ismail

Download or read book Theory and Applications of Special Functions written by Mourad E. H. Ismail. This book was released on 2006-03-30. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Orthogonal Polynomials and Special Functions

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Genre :
Kind : eBook
Book Rating : 752/5 ( reviews)

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Book Synopsis Orthogonal Polynomials and Special Functions by : SPRINGER

Download or read book Orthogonal Polynomials and Special Functions written by SPRINGER. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

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