A Pfaffian-Hafnian analogue of Borchardt's identity

Masao Ishikawa; Hiroyuki Kawamuko; Soichi Okada

A Pfaffian-Hafnian analogue of Borchardt's identity

Masao Ishikawa, Hiroyuki Kawamuko, Soichi Okada

研究成果 › 査読

抄録

We prove Pf (x_i - x_j/(x_i + x _j)²)_1≤i,j≤2n = π _1≤i<j≤2n x_i - _j/x_i + _j · Hf (1/x_i + x_j) _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.

本文言語	English
ジャーナル	Electronic Journal of Combinatorics
巻	12
号	1 N
出版ステータス	Published - 6月 14 2005
外部発表	はい

ASJC Scopus subject areas

理論的コンピュータサイエンス
幾何学とトポロジー
離散数学と組合せ数学
計算理論と計算数学
応用数学

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引用スタイル

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A Pfaffian-Hafnian analogue of Borchardt's identity

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ASJC Scopus subject areas

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