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- W4295258931 abstract "We examine relationships between two minors of order n of some matrices of n rows and n+r columns. This is done through a class of determinants, here called $n$-determinants, the investigation of which is our objective. We prove that 1-determinants are the upper Hessenberg determinants. In particular, we state several 1-determinants each of which equals a Fibonacci number. We also derive relationships among terms of sequences defined by the same recurrence equation independently of the initial conditions. A result generalizing the formula for the product of two determinants is obtained. Finally, we prove that the Schur functions may be expressed as $n$-determinants." @default.
- W4295258931 created "2022-09-12" @default.
- W4295258931 creator A5082551623 @default.
- W4295258931 date "2011-12-12" @default.
- W4295258931 modified "2023-09-25" @default.
- W4295258931 title "Recurrence Relations and Determinants" @default.
- W4295258931 doi "https://doi.org/10.48550/arxiv.1112.2466" @default.
- W4295258931 hasPublicationYear "2011" @default.
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