Special Functions Q Series And Related Topics


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Special Functions, $q$-Series and Related Topics


Special Functions, $q$-Series and Related Topics

Author: Mourad Ismail

language: en

Publisher: American Mathematical Soc.

Release Date: 1997


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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.

Algebraic Methods and Q-special Functions


Algebraic Methods and Q-special Functions

Author: Jan Felipe Van Diejen

language: en

Publisher: American Mathematical Soc.

Release Date: 1999-01-01


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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. Topics include basic hypergeometric functions, algebraic and representation-theoretic methods, combinatorics of symmetric functions, root systems, and the connections with integrable systems.

Special Functions


Special Functions

Author: George E. Andrews

language: en

Publisher: Cambridge University Press

Release Date: 1999


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An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.