Constant term identities of Forrester-Zeilberger-Cooper
type: Item
instance of: scholarly article
title: Constant term identities of Forrester-Zeilberger-Cooper
zbMATH Open document ID: 0884.33012
DOI: 10.1016/S0012-365X(96)00098-2
author: Jyoichi Kaneko
published in: Discrete Mathematics
publication date: 1998-04-14T00:00:00Z
review text: Two theorems on the `constant' term in certain Laurent polynomials have been proved by Cooper and by Zeilberger using methods of a combinatorial nature; these expressions involve the basic hypergeometric function \({}_2\varphi_1\). In this paper, the author establishes, by analytic methods, a more general theorem of this type, introducing a new kind of basic hypergeometric function involving Macdonald polynomials. The results are too long to reproduce here.
Mathematics Subject Classification ID: 33D20
Mathematics Subject Classification ID: 05A30
zbMATH DE Number: 1062442
reviewed by: Per W. Karlsson
MaRDI profile type: Publication
cites work: Some Basic Hypergeometric Extensions of Integrals of Selberg and Andrews
cites work: Some multidimensional integrals related to many-body systems with the 1/r2potential
cites work: Selberg Integrals and Hypergeometric Functions Associated with Jack Polynomials
cites work: $q$-Selberg integrals and Macdonald polynomials
cites work: A triple product identity for Macdonald polynomials
cites work: A new class of symmetric functions
cites work: A Stembridge-Stanton style elementary proof of the Habsieger-Kadell q- Morris identity
cites work: Proof of a \(q\)-analog of a constant term identity conjectured by Forrester
full work available at URL: s0012-365x(96)00098-2
OpenAlex ID: W2105644166
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description: scientific article; zbMATH DE number 1062442