A bijective proof of Borchardt's identity
type: Item
instance of: scholarly article
title: A bijective proof of Borchardt's identity
zbMATH Open document ID: 1053.05010
author: Dan Singer
published in: The Electronic Journal of Combinatorics
publication date: 2004-10-13T00:00:00Z
full work available at URL: https://eudml.org/doc/124009
full work available at URL: v11i1r48.html
review text: Summary: We prove Borchardt's identity \[ \text{det}\Biggl({1\over x_i- y_j}\Biggr)\text{per}\Biggl({1\over x_i- y_j}\Biggr)= \text{det}\Biggl({1\over (x_i- y_j)^2}\Biggr) \] by means of sign-reversing involutions.
Mathematics Subject Classification ID: 05A19
zbMATH DE Number: 2107490
zbMATH Keywords: Borchardt's identity
zbMATH Keywords: determinant
zbMATH Keywords: permanent
zbMATH Keywords: sign-reversing involution
zbMATH Keywords: alternating sign matrix
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2107490