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.
DOI: https://doi.org/10.2478/amsil-2022-0007 | Journal eISSN: 2391-4238 (formerly 0860-2107) | Journal ISSN: 0860-2107
Language: English
Page range: 206 - 214
Submitted on: Nov 2, 2021
Accepted on: Mar 29, 2022
Published on: Apr 18, 2022
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
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© 2022 Zsolt Páles, Amr Zakaria, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.