Another proof of Gustafson's \(C_n\)-type summation formula via `elementary' symmetric polynomials
type: Item
instance of: scholarly article
title: Another proof of Gustafson's \(C_n\)-type summation formula via `elementary' symmetric polynomials
zbMATH Open document ID: 1210.33021
author: Masahiko Ito
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2008-02-22T00:00:00Z
review text: Summary: We introduce new symmetric polynomials which induce a \(q\)-difference equation associated with a basic hypergeometric sum of type \(C_n\) investigated by Gustafson. Using them we give another proof for Gustafson's \(C_n\)-type summation formula.
Mathematics Subject Classification ID: 33D67
Mathematics Subject Classification ID: 33D70
Mathematics Subject Classification ID: 33D52
zbMATH DE Number: 5238907
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1166642114
OpenAlex ID: W2020285208
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DOI: 10.2977/PRIMS/1166642114
description: scientific article