Determinants through the looking glass

Tewodros Amdeberhan; Doron Zeilberger

doi:10.1006/aama.2001.0732

Determinants through the looking glass

Tewodros Amdeberhan, Doron Zeilberger

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

19 Scopus citations

Abstract

Using a recurrence derived from Dodgson's Condensation Method, we provide numerous explicit evaluations of determinants. They were all conjectured, and then rigorously proved, by computer-assisted methods, that should be amenable to full automation. We also mention a first step towards that goal, our Maple package, DODGSON, that automates the special case of Hankel and Toeplitz hypergeometric determinants.

Original language	English (US)
Pages (from-to)	225-230
Number of pages	6
Journal	Advances in Applied Mathematics
Volume	27
Issue number	2-3
DOIs	https://doi.org/10.1006/aama.2001.0732
State	Published - 2001
Externally published	Yes

All Science Journal Classification (ASJC) codes

Applied Mathematics

Keywords

Dodgson's condensation method
Hankel/Toeplitz hypergeometric determinants

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10.1006/aama.2001.0732

Cite this

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abstract = "Using a recurrence derived from Dodgson's Condensation Method, we provide numerous explicit evaluations of determinants. They were all conjectured, and then rigorously proved, by computer-assisted methods, that should be amenable to full automation. We also mention a first step towards that goal, our Maple package, DODGSON, that automates the special case of Hankel and Toeplitz hypergeometric determinants.",

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AU - Zeilberger, Doron

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AB - Using a recurrence derived from Dodgson's Condensation Method, we provide numerous explicit evaluations of determinants. They were all conjectured, and then rigorously proved, by computer-assisted methods, that should be amenable to full automation. We also mention a first step towards that goal, our Maple package, DODGSON, that automates the special case of Hankel and Toeplitz hypergeometric determinants.

KW - Dodgson's condensation method

KW - Hankel/Toeplitz hypergeometric determinants

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ER -

Determinants through the looking glass

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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