An elliptic generalization of Schur's Pfaffian identity

Details An elliptic generalization of Schur's Pfaffian identity An elliptic generalization of Schur's Pfaffian identity

2004-12-02

arxiv.org/abs/math/0412038v1

Mathematics

Classical Analysis and ODEs

7 pages

Scientific paper

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)).

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