An extension of the Abel-Liouville identity
Classical Analysis and ODEs
2020-09-04 v1
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 -dimensional vector-valued functions in the subclass of -times differentiable functions with a nonvanishing Wronskian.
Keywords
Cite
@article{arxiv.2009.01639,
title = {An extension of the Abel-Liouville identity},
author = {Zsolt Páles and Amr Zakaria},
journal= {arXiv preprint arXiv:2009.01639},
year = {2020}
}