Evaluation of a family of binomial determinants

Charles Helou; James A. Sellers

doi:10.13001/1081-3810.2889

Evaluation of a family of binomial determinants

Charles Helou, James A. Sellers

Research output: Contribution to journal › Article › peer-review

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Abstract

Motivated by a recent work about finite sequences where the n-th term is bounded by n², some classes of determinants are evaluated such as the (n − 2) × (n − 2) determinant formula presented where n, k, h, i, j are integers, (x_k) 1≤k≤n is a sequence of indeterminates over C and (A \choose B) is the usual binomial coefficient. It is proven that formula presented.

Original language	English (US)
Article number	21
Pages (from-to)	312-321
Number of pages	10
Journal	Electronic Journal of Linear Algebra
Volume	30
DOIs	https://doi.org/10.13001/1081-3810.2889
State	Published - 2015
Externally published	Yes

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© 2015, International Linear Algebra Society. All rights reserved.

Keywords

Binomial Coefficients
Determinants
Row Reduction

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10.13001/1081-3810.2889

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AU - Sellers, James A.

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AB - Motivated by a recent work about finite sequences where the n-th term is bounded by n2, some classes of determinants are evaluated such as the (n − 2) × (n − 2) determinant formula presented where n, k, h, i, j are integers, (xk) 1≤k≤n is a sequence of indeterminates over C and (A \choose B) is the usual binomial coefficient. It is proven that formula presented.

KW - Binomial Coefficients

KW - Determinants

KW - Row Reduction

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Evaluation of a family of binomial determinants

Abstract

Bibliographical note

Keywords

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