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

• K. Alladi -- Refinements of Rogers-Ramanujan type identities
• B. C. Berndt, H. H. Chan, and L.-C. Zhang -- Ramanujan's class invariants with applications to the values of \(q\)-continued fractions and theta functions
• G. Gasper -- Elementary derivations of summation and transformation formulas for \(q\)-series
• R. Wm. Gosper, Jr. -- \(\int ^{m/6}_{n/4} \ln \Gamma (z)dz\)
• F. A. Grunbaum and L. Haine -- On a \(q\)-analogue of Gauss equation and some \(q\)-Riccati equations
• R. A. Gustafson and C. Krattenthaler -- Determinant evaluations and \(U(n)\) extensions of Heine's \(_2\phi_1\)-transformations
• M. E. H. Ismail, D. R. Masson, and S. K. Suslov -- Some generating functions for \(q\)-polynomials
• E. Koelink -- Addition formulas for \(q\)-special functions
• T. H. Koornwinder -- Special functions and \(q\)-commuting variables
• M. Noumi, M. S. Dijkhuizen, and T. Sugitani -- Multivariable Askey-Wilson polynomials and quantum complex Grassmannians
• P. Paule and A. Riese -- A Mathematica \(q\)-analogue of Zeilberger's algorithm based on an algebraically motivated approach to \(q\)-hypergeometric telescoping
• W. Van Assche -- Orthogonal polynomials in the complex plane and on the real line
• Y. Xu -- On orthogonal polynomials in several variables
• D. R. Masson -- Appendix I: Program list of speakers and topics
• D. R. Masson -- Appendix II: List of participants