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Algebraic Methods and $q$-Special Functions

About this Title

Jan Felipe van Diejen, Universidad de Chile, Santiago, Chile and Luc Vinet, Université de Montréal, Québec, QC, Canada, Editors

Publication: CRM Proceedings and Lecture Notes
Publication Year: 1999; Volume 22
ISBNs: 978-0-8218-2026-1 (print); 978-1-4704-3936-1 (online)
DOI: https://doi.org/10.1090/crmp/022
MathSciNet review: MR1726560
MSC: Primary 33-06; Secondary 05A30, 33C45, 33C90, 33D45, 42C05, 81R50

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Table of Contents

Front/Back Matter

• View this volume's front and back matter

Chapters

• Science fiction and Macdonald’s polynomials
• On the expansion of elliptic functions and applications
• Generalized hypergeometric functions–Classification of identities and explicit rational approximations
• Tensor products of $q$-superalgebras and $q$-series identities. I
• $q$-Racah polynomials for $BC$ type root systems
• Intertwining operators of type $B_N$
• Symmetries and continuous $q$-orthogonal polynomials
• Addition theorems for spherical polynomials on a family of quantum spheres
• On a $q$-analogue of the string equation and a generalization of the classical orthogonal polynomials
• The $q$-Bessel function on a $q$-quadratic grid
• Three statistics on lattice paths
• Quantum Grothendieck polynomials
• $q$-difference raising operators for Macdonald polynomials and the integrality of transition coefficients
• Great powers of $q$-calculus
• $q$-special functions: Differential-difference equations, roots of unity, and all that
• On algebras of creation and annihilation operators

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