# Evaluation of a family of binomial determinants

Research output: Contribution to journalArticle

### 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, (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.

Original language English (US) 21 312-321 10 Electronic Journal of Linear Algebra 30 Published - Jan 1 2015

### Fingerprint

Determinant
Binomial coefficient
Evaluation
Choose
Integer
Term
Family
Class

### All Science Journal Classification (ASJC) codes

• Algebra and Number Theory

### Cite this

@article{027a24c7bec142e0a376ee309243f8c4,
title = "Evaluation of a family of binomial determinants",
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, (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.",
author = "Charles Helou and Sellers, {James Allen}",
year = "2015",
month = "1",
day = "1",
language = "English (US)",
volume = "30",
pages = "312--321",
journal = "Electronic Journal of Linear Algebra",
issn = "1081-3810",
publisher = "International Linear Algebra Society",

}

In: Electronic Journal of Linear Algebra, Vol. 30, 21, 01.01.2015, p. 312-321.

Research output: Contribution to journalArticle

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AU - Sellers, James Allen

PY - 2015/1/1

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N2 - 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.

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.

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