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| Titel: |
Persymmetric determinants |
| Auteur: |
Vein, P. R. |
| Verschenen in: |
Linear & multilinear algebra |
| Paginering: | Jaargang 11 (1982) nr. 3 pagina's 267-276 |
| Jaar: |
1982 |
| Inhoud: |
The object of this paper is to show that three determinantal identities which appeared in the author's joint paper with Dale [3], and which at the time were thought to be independent, are in fact simple illustrations of a general family of identities. Let M1 be a persymmetric matrix of modified Appell polynomials ψm(x) and let M2 be a symmetric matrix of the form [image omitted] where A is a persymmetric array of the constants ψm(0)Pis an array of x-elements with binomial coefficients and O is an array of zeros. Then to each submatrix of M1 there corresponds a family of distinct submatrices of M2 the determinants of which represent identical polynomials. The result can be extended to functions of two variables. The paper ends with two determinantal representations of ψm(x) and an identity relating three determinants. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 5 van 11 gevonden artikelen
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