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.
|Journal||Electronic Journal of Combinatorics|
|Issue number||1 N|
|Publication status||Published - Jun 14 2005|
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics