A short proof of an identity of Sylvester
type: Item
instance of: scholarly article
title: A short proof of an identity of Sylvester
zbMATH Open document ID: 0929.01019
DOI: 10.1155/S0161171299224313
author: Gaurav Bhatnagar
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2000-02-01T00:00:00Z
full work available at URL: https://eudml.org/doc/48314
review text: We present two short proofs of an identity found by Sylvester and rediscovered by Louck. The first proof is an elementary version of Knuth's proof and is analogous to Macdonald's proof of a related identity of Milne. The second is Sylvester's own proof of his identity.
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 05E05
zbMATH DE Number: 1334845
zbMATH Keywords: Sylvesters's identity
zbMATH Keywords: Louck's identity
zbMATH Keywords: Milne's identity
zbMATH Keywords: complete homogeneous symmetric function
zbMATH Keywords: multiple basic hypergeometric series
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1334845