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arXiv · 2009.01639

An extension of the Abel-Liouville identity

Zsolt Páles·Amr Zakaria
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Abstract

In this note, we present an extension of the celebrated Abel-Liouville identity in terms of noncommutative complete Bell polynomials for generalized Wronskians. We also characterize the range equivalence of $n$-dimensional vector-valued functions in the subclass of $n$-times differentiable functions with a nonvanishing Wronskian.

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Zsolt Páles, Amr Zakaria. 2020-09-03. An extension of the Abel-Liouville identity. https://arxiv.org/abs/2009.01639

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