Special Functions, Q-Series and Related Topics

by Ismail, Mourad E. H.; Masson, David R.; Rahman, Mizan

• ISBN13: 9780821805244
• ISBN10: 082180524X
• Format: Hardcover
• Copyright: 1997-01-01
• Publisher: Amer Mathematical Society

Summary

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, iq-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.

Table of Contents

Refinements of Rogers-Ramanujan type identities

Ramanujan's class invariants with applications to the values of $q$-continued fractions and theta functions

Elementary derivations of summation and transformation formulas for $q$-series

$\int ^{m/6}_{n/4} \ln \Gamma (z)dz$

On a $q$-analogue of Gauss equation and some $q$-Riccati equations

Determinant evaluations and $U(n)$ extensions of Heine's $_2\phi_1$-transformations

Some generating functions for $q$-polynomials

Addition formulas for $q$-special functions

Special functions and $q$-commuting variables

Multivariable Askey-Wilson polynomials and quantum complex Grassmannians

A Mathematica $q$-analogue of Zeilberger's algorithm based on an algebraically motivated approach to $q$-hypergeometric telescoping

Orthogonal polynomials in the complex plane and on the real line

Assche On orthogonal polynomials in several variables

Program list of speakers and topics

List of participants

Table of Contents provided by Publisher. All Rights Reserved.