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Special Functions, $q$-Series and Related Topics

Edited by: Mourad E. H. Ismail University of South Florida, Tampa, FL
David R. Masson University of Toronto, Toronto, ON, Canada
Mizanur Rahman Carleton University, Ottawa, ON, Canada
A co-publication of the AMS and Fields Institute
Available Formats:
Hardcover ISBN: 978-0-8218-0524-4
Product Code: FIC/14
List Price: $112.00 MAA Member Price:$100.80
AMS Member Price: $89.60 Electronic ISBN: 978-1-4704-2982-9 Product Code: FIC/14.E List Price:$105.00
MAA Member Price: $94.50 AMS Member Price:$84.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $168.00 MAA Member Price:$151.20
AMS Member Price: $134.40 Click above image for expanded view Special Functions,$q$-Series and Related Topics Edited by: Mourad E. H. Ismail University of South Florida, Tampa, FL David R. Masson University of Toronto, Toronto, ON, Canada Mizanur Rahman Carleton University, Ottawa, ON, Canada A co-publication of the AMS and Fields Institute Available Formats:  Hardcover ISBN: 978-0-8218-0524-4 Product Code: FIC/14  List Price:$112.00 MAA Member Price: $100.80 AMS Member Price:$89.60
 Electronic ISBN: 978-1-4704-2982-9 Product Code: FIC/14.E
 List Price: $105.00 MAA Member Price:$94.50 AMS Member Price: $84.00 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$168.00 MAA Member Price: $151.20 AMS Member Price:$134.40
• Book Details

Fields Institute Communications
Volume: 141997; 277 pp
MSC: Primary 33; 05; 11; 42; 68; Secondary 17; 40;

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.

Graduate students, research mathematicians, and scientists interested in special functions and its applications.

• 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
• Request Review Copy
Volume: 141997; 277 pp
MSC: Primary 33; 05; 11; 42; 68; Secondary 17; 40;

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.

Graduate students, research mathematicians, and scientists interested in special functions and its applications.

• 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
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