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arXiv · 2412.19889

Cauchy-type identities through collocation matrices

Pablo Diaz·Esmeralda Mainar
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Abstract

We present a broader framework for the Cauchy identity derived from the determinant expansion of collocation matrices. This approach yields an infinite family of identities, where the original Cauchy identity stands as a particular case. To illustrate the versatility and depth of this approach, we provide a range of compelling examples, showcasing the connections and applications of these novel identities.

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Pablo Diaz, Esmeralda Mainar. 2024-12-27. Cauchy-type identities through collocation matrices. https://arxiv.org/abs/2412.19889

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