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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
Special Functions, $q$-Series and Related Topics
Hardcover ISBN:  978-0-8218-0524-4
Product Code:  FIC/14
List Price: $118.00
MAA Member Price: $106.20
AMS Member Price: $94.40
eBook ISBN:  978-1-4704-2982-9
Product Code:  FIC/14.E
List Price: $111.00
MAA Member Price: $99.90
AMS Member Price: $88.80
Hardcover ISBN:  978-0-8218-0524-4
eBook: ISBN:  978-1-4704-2982-9
Product Code:  FIC/14.B
List Price: $229.00 $173.50
MAA Member Price: $206.10 $156.15
AMS Member Price: $183.20 $138.80
Add to cart
Special Functions, $q$-Series and Related Topics
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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
Hardcover ISBN:  978-0-8218-0524-4
Product Code:  FIC/14
List Price: $118.00
MAA Member Price: $106.20
AMS Member Price: $94.40
eBook ISBN:  978-1-4704-2982-9
Product Code:  FIC/14.E
List Price: $111.00
MAA Member Price: $99.90
AMS Member Price: $88.80
Hardcover ISBN:  978-0-8218-0524-4
eBook ISBN:  978-1-4704-2982-9
Product Code:  FIC/14.B
List Price: $229.00 $173.50
MAA Member Price: $206.10 $156.15
AMS Member Price: $183.20 $138.80
Add to cart
  • Book Details
     
     
    Fields Institute Communications
    Volume: 14; 1997; 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.

    Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
    Readership

    Graduate students, research mathematicians, and scientists interested in special functions and its applications.
  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Fields Institute Communications
Volume: 14; 1997; 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.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Readership

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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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