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arXiv:math/0412038 [math.CA]AbstractReferencesReviewsResources

An elliptic generalization of Schur's Pfaffian identity

Soichi Okada

Published 2004-12-02Version 1

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)).

Comments: 7 pages
Categories: math.CA, math.CO
Subjects: 33E05, 05E05, 15A15
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