Published: 2022-04-18

An extension of the Abel–Liouville identity

Zsolt Páles Logo ORCID , Amr Zakaria

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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Páles, Z., & Zakaria, A. (2022). An extension of the Abel–Liouville identity. Annales Mathematicae Silesianae, 36(2), 206–214. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13550

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Domyślna okładka

Vol. 36 No. 2 (2022)
Published: 2022-09-30


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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