Determinantal evaluation of four Wronskian matrices

W. Chu

doi:10.37863/umzh.v73i5.340

W. Chu School Math. and Statist., Zhoukou Normal Univ., China

DOI: https://doi.org/10.37863/umzh.v73i5.340

Keywords: Wronskian matrix, Formal power series, Composite function, Laplace expansion, Vandermonde determinant

Abstract

UDC 517.5

Two determinants of Wronskian matrices are evaluated when the matrix rows are partitioned into $n$ blocks.
Analogous formulae are derived for the matrices involving compositions of formal power series as entries.

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