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q-Series and Partitions

  • Dennis Stanton
Conference proceedings

Part of the The IMA Volumes in Mathematics and Its Applications book series (IMA, volume 18)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Doron Zeilberger
    Pages 35-44
  3. David M. Bressoud
    Pages 45-55
  4. Frederick M. Goodman, Kathleen M. O’Hara
    Pages 57-66
  5. I. G. Macdonald
    Pages 73-75
  6. Frank G. Garvan
    Pages 77-98
  7. Laurent Habsieger
    Pages 99-108
  8. Donald St. P. Richards
    Pages 109-137
  9. Richard Askey
    Pages 151-158
  10. Mourad E. H. Ismail
    Pages 177-190
  11. Willard Miller Jr.
    Pages 191-212

About these proceedings

Introduction

This IMA Volume in Mathematics and its Applications q-Series and Partitions is based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on APPLIED COMBINATORICS. We are grateful to the Scientific Committee: Victor Klee (Chairman), Daniel Kleitman, Dijen Ray-Chaudhuri and Dennis Stanton for planning and implementing an exciting and stimulating year­ long program. We especially thank the Workshop Organizer, Dennis Stanton, for organizing a workshop which brought together many of the major figures in a variety of research fields in which q-series and partitions are used. A vner Friedman Willard Miller, Jr. PREFACE This volume contains the Proceedings of the Workshop on q-Series and Parti­ tions held at the IMA on March 7-11, 1988. Also included are papers by Goodman and O'Hara, Macdonald, and Zeilberger on unimodality. This work was of substan­ tial interest and discussed by many participants in the Workshop. The papers have been grouped into four parts: identities, unimodality of Gaus­ sian polynomials, constant term problems and related integrals, and orthogonal polynomials. They represent a cross section of the recent work on q-series includ­ ing: partitions, combinatorics, Lie algebras, analysis, and mathematical physics. I would like to thank the staff of the IMA, and its directors, Avner Friedman and Willard Miller, Jr., for providing a wonderful environment for the Workshop. Patricia Brick and Kaye Smith prepared the manuscripts.

Keywords

Combinatorics Partition differential equation function orthogonal polynomials

Editors and affiliations

  • Dennis Stanton
    • 1
  1. 1.School of MathematicsUniversity of MinnesotaMinneapolisUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-0637-5
  • Copyright Information Springer-Verlag New York 1989
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-0639-9
  • Online ISBN 978-1-4684-0637-5
  • Series Print ISSN 0940-6573
  • Buy this book on publisher's site
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