Overview

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, iq-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.

Full Product Details

Author:   Mourad E. H. Ismail ,  David R. Masson ,  Mizan Rahman
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 14
Weight:   0.737kg
ISBN:  

9780821805244

ISBN 10:   082180524
Pages:   279
Publication Date:   30 March 1997
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

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

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