Abstract
UDC 517.5
Two determinants of Wronskian matrices are evaluated when the matrix rows are partitioned into blocks.Analogous formulae are derived for the matrices involving compositions of formal power series as entries.
Publisher
Institute of Mathematics National Academy of Sciences of Ukraine
Reference7 articles.
1. D. Aharonov, U. Elias, Problem 11608 , Amer. Math. Monthly, 118, № 10 (2011).
2. W. Chu, The Fa`a di Bruno formula and determinant identities , Linear and Multilinear Algebra, 54, № 1, 1 – 25 (2006), https://doi.org/10.1080/03081080412331281005
3. K. S. Kedlaya, Another combinatorial determinant , J. Combin. Theory. Ser. A, 90, 221 – 223 (2000), https://doi.org/10.1006/jcta.1999.3029
4. L. Mina, Formule generali delle successive d’una funzione espresse mediante quelle della sua inversa , Giornale Mat., 43, 196 – 212 (1905).
5. A. J. van der Poorten, Some determinants that should be better known , J. Austr. Math. Soc. Ser. A, 21, 78 – 288 (1976), https://doi.org/10.1017/s1446788700018577