A Bijective Proof of Borchardt's Identity

  • Dan Singer
DOI: https://doi.org/10.37236/1801

Abstract

We prove Borchardt's identity $$\hbox{det}\left({1\over x_i-y_j}\right) \hbox{per}\left({1\over x_i-y_j}\right)= \hbox{det}\left({1\over(x_i-y_j)^2}\right)$$ by means of sign-reversing involutions.

Published
2004-07-26
How to Cite
Singer, D. (2004). A Bijective Proof of Borchardt’s Identity. The Electronic Journal of Combinatorics, 11(1), R48. https://doi.org/10.37236/1801
Issue
Volume 11, Issue 1 (2004)
Article Number
R48