eBook ISBN:  9780821878446 
Product Code:  CONM/254.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821878446 
Product Code:  CONM/254.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 254; 2000; 432 ppMSC: Primary 05; 11; 20; 22; 30; 33; 41; 42; 43; 82
This volume presents the proceedings of the Joint Summer Research Conference on \(q\)series, combinatorics, and computer algebra held at Mount Holyoke College (South Hadley, MA). All of the papers were contributed by participants and offer original research on topics of current interest. 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 honor of Richard Askey on the occasion of his 65th birthday and the proceedings contain an article about Askey's contributions to special functions.
ReadershipGraduate students and research mathematicians interested in combinatorics.

Table of Contents

Articles

George Gasper, Mourad E. H. Ismail, Tom Koornwinder, Paul Nevai and Dennis Stanton — The mathematical contributions of Richard Askey [ MR 1768919 ]

Mourad E. H. Ismail and Dennis W. Stanton — Curriculum Vitae of Richard A. Askey

Krishnaswami Alladi — Reformulations of a partition theorem of Göllnitz and $q$series identities [ MR 1768921 ]

George E. Andrews — Schur’s theorem, partitions with odd parts and the AlSalamCarlitz polynomials [ MR 1768922 ]

Kazuhiko Aomoto and Kazumoto Iguchi — Singularity and monodromy of quasihypergeometric functions [ MR 1768923 ]

Bruce C. Berndt, Heng Huat Chan and SenShan Huang — Incomplete elliptic integrals in Ramanujan’s lost notebook [ MR 1768924 ]

William C. Connett and Alan L. Schwartz — Measure algebras associated with orthogonal polynomials [ MR 1768925 ]

Dominique Foata and Guoniu Han — Word straightening and $q$Eulerian calculus [ MR 1768926 ]

Omar Foda, Keith S. M. Lee, Yaroslav Pugai and Trevor A. Welsh — Path generating transforms [ MR 1768927 ]

George Gasper — $q$extensions of Erdélyi’s fractional integral representations for hypergeometric functions and some summation formulas for double $q$Kampé de Fériet series [ MR 1768928 ]

R. Wm. Gosper, Jr. and Sergei K. Suslov — Numerical investigation of basic Fourier series [ MR 1768929 ]

Michael D. Hirschhorn — An identity of Ramanujan, and applications [ MR 1768930 ]

Mourad E. H. Ismail and Dennis W. Stanton — Addition theorems for the $q$exponential function [ MR 1768931 ]

Kevin W. J. Kadell — The Schur functions for partitions with complex parts [ MR 1768932 ]

Jyoichi Kaneko — On Forrester’s generalization of Morris constant term identity [ MR 1768933 ]

Anatol N. Kirillov — New combinatorial formula for modified HallLittlewood polynomials [ MR 1768934 ]

C. Krattenthaler — Schur function identities and the number of perfect matchings of holey Aztec rectangles [ MR 1768935 ]

Stephen C. Milne — A new ${\rm U}(n)$ generalization of the Jacobi triple product identity [ MR 1768936 ]

Hjalmar Rosengren — A new quantum algebraic interpretation of the AskeyWilson polynomials [ MR 1768937 ]

Siddhartha Sahi — Some properties of Koornwinder polynomials [ MR 1768938 ]

Michael Schlosser — A new multidimensional matrix inversion in $A_r$ [ MR 1768917 ]


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This volume presents the proceedings of the Joint Summer Research Conference on \(q\)series, combinatorics, and computer algebra held at Mount Holyoke College (South Hadley, MA). All of the papers were contributed by participants and offer original research on topics of current interest. 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 honor of Richard Askey on the occasion of his 65th birthday and the proceedings contain an article about Askey's contributions to special functions.
Graduate students and research mathematicians interested in combinatorics.

Articles

George Gasper, Mourad E. H. Ismail, Tom Koornwinder, Paul Nevai and Dennis Stanton — The mathematical contributions of Richard Askey [ MR 1768919 ]

Mourad E. H. Ismail and Dennis W. Stanton — Curriculum Vitae of Richard A. Askey

Krishnaswami Alladi — Reformulations of a partition theorem of Göllnitz and $q$series identities [ MR 1768921 ]

George E. Andrews — Schur’s theorem, partitions with odd parts and the AlSalamCarlitz polynomials [ MR 1768922 ]

Kazuhiko Aomoto and Kazumoto Iguchi — Singularity and monodromy of quasihypergeometric functions [ MR 1768923 ]

Bruce C. Berndt, Heng Huat Chan and SenShan Huang — Incomplete elliptic integrals in Ramanujan’s lost notebook [ MR 1768924 ]

William C. Connett and Alan L. Schwartz — Measure algebras associated with orthogonal polynomials [ MR 1768925 ]

Dominique Foata and Guoniu Han — Word straightening and $q$Eulerian calculus [ MR 1768926 ]

Omar Foda, Keith S. M. Lee, Yaroslav Pugai and Trevor A. Welsh — Path generating transforms [ MR 1768927 ]

George Gasper — $q$extensions of Erdélyi’s fractional integral representations for hypergeometric functions and some summation formulas for double $q$Kampé de Fériet series [ MR 1768928 ]

R. Wm. Gosper, Jr. and Sergei K. Suslov — Numerical investigation of basic Fourier series [ MR 1768929 ]

Michael D. Hirschhorn — An identity of Ramanujan, and applications [ MR 1768930 ]

Mourad E. H. Ismail and Dennis W. Stanton — Addition theorems for the $q$exponential function [ MR 1768931 ]

Kevin W. J. Kadell — The Schur functions for partitions with complex parts [ MR 1768932 ]

Jyoichi Kaneko — On Forrester’s generalization of Morris constant term identity [ MR 1768933 ]

Anatol N. Kirillov — New combinatorial formula for modified HallLittlewood polynomials [ MR 1768934 ]

C. Krattenthaler — Schur function identities and the number of perfect matchings of holey Aztec rectangles [ MR 1768935 ]

Stephen C. Milne — A new ${\rm U}(n)$ generalization of the Jacobi triple product identity [ MR 1768936 ]

Hjalmar Rosengren — A new quantum algebraic interpretation of the AskeyWilson polynomials [ MR 1768937 ]

Siddhartha Sahi — Some properties of Koornwinder polynomials [ MR 1768938 ]

Michael Schlosser — A new multidimensional matrix inversion in $A_r$ [ MR 1768917 ]