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$q$-Series from a Contemporary Perspective

About this Title

Mourad E. H. Ismail and Dennis W. Stanton, Editors

Publication: Contemporary Mathematics
Publication Year: 2000; Volume 254
ISBNs: 978-0-8218-1150-4 (print); 978-0-8218-7844-6 (online)
DOI: https://doi.org/10.1090/conm/254
MathSciNet review: 1768918

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Table of Contents

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Front/Back Matter

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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 $\textrm {U}(n)$ 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]