A Pfaffian-Hafnian analogue of Borchardt's identity

Masao Ishikawa, Hiroyuki Kawamuko, Soichi Okada

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We prove Pf (xi - xj/(xi + x j)2)1≤i,j≤2n = π 1≤i xi - j/xi + j · Hf (1/xi + xj) 1≤i,j≤2n (and its variants) by using complex analysis. This identity can be regarded as a Pfaffian-Hafnian analogue of Borchardt's identity and as a generalization of Schur's identity.

Original languageEnglish
JournalElectronic Journal of Combinatorics
Volume12
Issue number1 N
Publication statusPublished - Jun 14 2005
Externally publishedYes

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Pfaffian
Analogue
Complex Analysis

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

Cite this

A Pfaffian-Hafnian analogue of Borchardt's identity. / Ishikawa, Masao; Kawamuko, Hiroyuki; Okada, Soichi.

In: Electronic Journal of Combinatorics, Vol. 12, No. 1 N, 14.06.2005.

Research output: Contribution to journalArticle

Ishikawa, Masao ; Kawamuko, Hiroyuki ; Okada, Soichi. / A Pfaffian-Hafnian analogue of Borchardt's identity. In: Electronic Journal of Combinatorics. 2005 ; Vol. 12, No. 1 N.
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