9780821811504

Q-Series from a Contemporary Perspective: Ams-Ims-Siam Joint Summer Research Conference on Q-Series, Combinatorics, and Computer Algebra, June 21-25, 1998, Mount Holyoke College, South Hadley

by ;
  • ISBN13:

    9780821811504

  • ISBN10:

    0821811509

  • Format: Paperback
  • Copyright: 2000-03-01
  • Publisher: Amer Mathematical Society

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Summary

This volume presents the proceedings of the Summer Research Conference on q-series and related topics held at Mount Holyoke College (Hadley, MA). All of the papers were contributed by participants and offer original research. Articles in the book reflect the diversity of areas that overlap with q-series, as well as the usefulness of q-series across the mathematical sciences. The conference was held in honour of Richard Askey on the occasion of his 65th birthday.

Table of Contents

Preface ix
The mathematical contributions of Richard Askey
1(18)
George Gasper
Mourad E. H. Ismail
Tom Koornwinder
Paul Nevai
Dennis W. Stanton
Curriculum vitae of Richard A. Askey
19(12)
Mourad E. H. Ismail
Dennis W. Stanton
Reformulations of a partition theorem of Gollnitz and q-series identities
31(14)
Krishnaswami Alladi
Schur's theorem, partitions with odd parts and the Al-Salam-Carlitz polynomials
45(12)
George E. Andrews
Singularity and monodromy of quasi-hypergeometric functions
57(22)
Kazuhiko Aomoto
Kazumoto Iguchi
Incomplete elliptic integrals in Ramanujan's lost notebook
79(48)
Bruce C. Berndt
Heng Huat Chan
Sen-Shan Huang
Measure algebras associated with orthogonal polynomials
127(14)
William C. Connett
Alan L. Schwartz
Word straightening and q-Eulerian calculus
141(16)
Dominique Foata
Guoniu Han
Path generating transforms
157(30)
Omar Foda
Keith S. M. Lee
Yaroslav Pugai
Trevor A. Welsh
q-extensions of Erdelyi's fractional integral representations for hypergeometric functions and some summation formulas for double q-Kampe de Feriet series
187(12)
George Gasper
Numerical investigation of basic Fourier series
199(30)
R. Wm. Gosper, Jr.
Sergei K. Suslov
An identity of Ramanujan, and applications
229(6)
Michael D. Hirschhorn
Addition theorems for the q-exponential function
235(12)
Mourad E. H. Ismail
Dennis W. Stanton
The Schur functions for partitions with complex parts
247(24)
Kevin W. J. Kadell
On Forrester's generalization of Morris constant term identity
271(12)
Jyoichi Kaneko
New combinatorial formula for modified Hall-Littlewood polynomials
283(52)
Anatol N. Kirillov
Schur function identities and the number of perfect matchings of Holey Aztec rectangles
335(16)
Christian Krattenthaler
A new U (n) generalization of the Jacobi triple product identity
351(20)
Stephen C. Milne
A new quantum algebraic interpretation of the Askey-Wilson polynomials
371(24)
Hjalmar Rosengren
Some properties of Koornwinder polynomials
395(18)
Siddhartha Sahi
A new multidimensional matrix inversion in Ar
413
Michael Schlosser

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