Abstract
We prove Pf (xi - xj/(xi + x j)2)1≤i,j≤2n = π 1≤i<j≤2n 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 language | English |
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Journal | Electronic Journal of Combinatorics |
Volume | 12 |
Issue number | 1 N |
Publication status | Published - Jun 14 2005 |
Externally published | Yes |
ASJC Scopus subject areas
- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics
- Applied Mathematics