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Special Functions, $q$-Series and Related Topics

About this Title

Mourad E. H. Ismail, University of South Florida, Tampa, FL, David R. Masson, University of Toronto, Toronto, ON, Canada and Mizanur Rahman, Carleton University, Ottawa, ON, Canada, Editors

Publication: Fields Institute Communications
Publication Year: 1997; Volume 14
ISBNs: 978-0-8218-0524-4 (print); 978-1-4704-2982-9 (online)
DOI: https://doi.org/10.1090/fic/014
MathSciNet review: MR1448676
MSC: Primary 33-06; Secondary 00B25

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Table of Contents

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Front/Back Matter

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Chapters

• Krishnaswami Alladi – Refinements of Rogers-Ramanujan type identities
• Bruce Berndt, Heng Huat Chan and Liang-Cheng Zhang – Ramanujan’s class invariants with applications to the values of $q$-continued fractions and theta functions
• George Gasper – Elementary derivations of summation and transformation formulas for $q$-series
• R. Gosper, Jr. – $\int ^{m/6}_{n/4} \ln \Gamma (z)dz$
• F. Grunbaum and Luc Haine – On a $q$-analogue of Gauss equation and some $q$-Riccati equations
• Robert Gustafson and Christian Krattenthaler – Determinant evaluations and $U(n)$ extensions of Heine’s $_2\phi _1$-transformations
• Mourad Ismail, David Masson and Sergei Suslov – Some generating functions for $q$-polynomials
• Erik Koelink – Addition formulas for $q$-special functions
• Tom Koornwinder – Special functions and $q$-commuting variables
• Masatoshi Noumi, Mathijs Dijkhuizen and Tetsuya Sugitani – Multivariable Askey-Wilson polynomials and quantum complex Grassmannians
• Peter Paule and Axel Riese – A Mathematica $q$-analogue of Zeilberger’s algorithm based on an algebraically motivated approach to $q$-hypergeometric telescoping
• Walter Van Assche – Orthogonal polynomials in the complex plane and on the real line
• Yuan Xu – On orthogonal polynomials in several variables
• Program list of speakers and topics
• List of participants