论文标题

Abel-Liouville身份的扩展

An extension of the Abel-Liouville identity

论文作者

Páles, Zsolt, Zakaria, Amr

论文摘要

在本说明中,我们介绍了著名的Abel-Liouville身份的扩展,该身份是针对广义的Wronskians的非交流性完整钟声多项式的。我们还表征了$ n $维矢量值的范围在$ n $ times可区分功能的子类中,具有非泛滥的wronskian。

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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