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$q$-Series from a Contemporary Perspective

Edited by: Mourad E. H. Ismail University of South Florida, Tampa, FL
Dennis W. Stanton University of Minnesota, Minneapolis, MN
Available Formats:
Electronic ISBN: 978-0-8218-7844-6
Product Code: CONM/254.E
List Price: $108.00 MAA Member Price:$97.20
AMS Member Price: $86.40 Click above image for expanded view$q$-Series from a Contemporary Perspective Edited by: Mourad E. H. Ismail University of South Florida, Tampa, FL Dennis W. Stanton University of Minnesota, Minneapolis, MN Available Formats:  Electronic ISBN: 978-0-8218-7844-6 Product Code: CONM/254.E  List Price:$108.00 MAA Member Price: $97.20 AMS Member Price:$86.40
• Book Details

Contemporary Mathematics
Volume: 2542000; 432 pp
MSC: 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.

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 Al-Salam-Carlitz polynomials [ MR 1768922 ]
• Kazuhiko Aomoto and Kazumoto Iguchi - Singularity and monodromy of quasi-hypergeometric functions [ MR 1768923 ]
• Bruce C. Berndt, Heng Huat Chan and Sen-Shan 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 Hall-Littlewood 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 Askey-Wilson polynomials [ MR 1768937 ]
• Siddhartha Sahi - Some properties of Koornwinder polynomials [ MR 1768938 ]
• Michael Schlosser - A new multidimensional matrix inversion in $A_r$ [ MR 1768917 ]
• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 2542000; 432 pp
MSC: 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.

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 Al-Salam-Carlitz polynomials [ MR 1768922 ]
• Kazuhiko Aomoto and Kazumoto Iguchi - Singularity and monodromy of quasi-hypergeometric functions [ MR 1768923 ]
• Bruce C. Berndt, Heng Huat Chan and Sen-Shan 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 Hall-Littlewood 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 Askey-Wilson polynomials [ MR 1768937 ]
• Siddhartha Sahi - Some properties of Koornwinder polynomials [ MR 1768938 ]
• Michael Schlosser - A new multidimensional matrix inversion in $A_r$ [ MR 1768917 ]
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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