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 languageEnglish (US)
Article number21
Pages (from-to)312-321
Number of pages10
JournalElectronic Journal of Linear Algebra
Volume30
StatePublished - Jan 1 2015

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Determinant
Binomial coefficient
Evaluation
Choose
Integer
Term
Family
Class

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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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.",
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language = "English (US)",
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Evaluation of a family of binomial determinants. / Helou, Charles; Sellers, James Allen.

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

Research output: Contribution to journalArticle

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