Hardcover ISBN:  9780821805244 
Product Code:  FIC/14 
List Price:  $112.00 
MAA Member Price:  $100.80 
AMS Member Price:  $89.60 
Electronic ISBN:  9781470429829 
Product Code:  FIC/14.E 
List Price:  $105.00 
MAA Member Price:  $94.50 
AMS Member Price:  $84.00 

Book DetailsFields Institute CommunicationsVolume: 14; 1997; 277 ppMSC: 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 singlevariable special functions. The book contains both pure and applied topics and reflects recent trends of research in the various areas of special functions.
ReadershipGraduate students, research mathematicians, and scientists interested in special functions and its applications.

Table of Contents

Chapters

Krishnaswami Alladi  Refinements of RogersRamanujan type identities

Bruce Berndt, Heng Huat Chan and LiangCheng 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 AskeyWilson 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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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 singlevariable 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 RogersRamanujan type identities

Bruce Berndt, Heng Huat Chan and LiangCheng 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 AskeyWilson 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