Algebraic Methods and Q-special Functions

American Mathem

ISBN 10: 0821820265 / ISBN 13: 9780821820261

Published by American Mathematical Society, US, 1999

About this Item

There has been revived interest in recent years in the study of special functions. Many of the latest advances in the field were inspired by the works of R. A. Askey and colleagues on basic hypergeometric series and I. G. Macdonald on orthogonal polynomials related to root systems. Significant progress was made by the use of algebraic techniques involving quantum groups, Hecke algebras, and combinatorial methods. The CRM organized a workshop for key researchers in the field to present an overview of current trends. This volume consists of the contributions to that workshop. The topics include basic hypergeometric functions, algebraic and representation-theoretic methods, combinatorics of symmetric functions, root systems, and the connections with integrable systems.

Seller Inventory # LU-9780821820261

Bibliographic Details

• Title: Algebraic Methods and Q-special Functions
• Publisher: American Mathematical Society, US
• Publication Date: 1999
• Language: English
• ISBN 10: 0821820265
• ISBN 13: 9780821820261
• Binding: Paperback
• Condition: New
• Weight: 539 grams

About this title

Synopsis

Sixteen papers from the May 1996 workshop held in Montreal provide an overview of the rapid developments in the field of special functions, with an emphasis on the algebraic aspects. Among the topics are relationships among certain m-tuples of the Garsia- Haiman modules M m and corresponding elements of the Macdonald basis, the classification of generalized hypergeometric series representations and rational approximations to classes of hypergeometric functions, symmetries and continuous q-orthogonal polynomials, and the q-Bessel function on a q-quadratic grid. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)