An elliptic generalization of Schur's Pfaffian identity
Classical Analysis and ODEs
2007-05-23 v1 Combinatorics
Abstract
We present a Pfaffian identity involving elliptic functions, whose rational limit gives a generalization of Schur's Pfaffian identity for Pf ((x_j - x_i)/(x_j + x_i)). This identity is regarded as a Pfaffian counterpart of Frobenius identity, which is an elliptic generalization of Cauchy's determinant identity for det (1/ (x_i + x_j)).
Cite
@article{arxiv.math/0412038,
title = {An elliptic generalization of Schur's Pfaffian identity},
author = {Soichi Okada},
journal= {arXiv preprint arXiv:math/0412038},
year = {2007}
}
Comments
7 pages