An Extension of the Abel–Liouville Identity

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.

Keywords

• abel–liouville identity
• generalized wronskians
• complete bell polynomials
• 34a30