Determinants of rising powers of second order linear recurrence entries by means of the Desnanot-Jacobi identity

Aram Tangboonduangjit; Thotsaporn Thanatipanonda

doi:10.1080/00150517.2016.12427802

Determinants of rising powers of second order linear recurrence entries by means of the Desnanot-Jacobi identity

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Abstract

We apply the Desnanot-Jacobi identity to give an alternative proof of the deter- minants whose entries are rising powers of the Fibonacci numbers given by Prodinger. We then generalize the determinants to include entries that are rising powers of the terms in a second order linear recurrence.

Original language	English
Pages (from-to)	340-343
Number of pages	4
Journal	Fibonacci Quarterly
Volume	54
Issue number	4
DOIs	https://doi.org/10.1080/00150517.2016.12427802
Publication status	Published - Nov 2016

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title = "Determinants of rising powers of second order linear recurrence entries by means of the Desnanot-Jacobi identity",

abstract = "We apply the Desnanot-Jacobi identity to give an alternative proof of the deter- minants whose entries are rising powers of the Fibonacci numbers given by Prodinger. We then generalize the determinants to include entries that are rising powers of the terms in a second order linear recurrence.",

author = "Aram Tangboonduangjit and Thotsaporn Thanatipanonda",

year = "2016",

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doi = "10.1080/00150517.2016.12427802",

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AU - Tangboonduangjit, Aram

AU - Thanatipanonda, Thotsaporn

PY - 2016/11

Y1 - 2016/11

N2 - We apply the Desnanot-Jacobi identity to give an alternative proof of the deter- minants whose entries are rising powers of the Fibonacci numbers given by Prodinger. We then generalize the determinants to include entries that are rising powers of the terms in a second order linear recurrence.

AB - We apply the Desnanot-Jacobi identity to give an alternative proof of the deter- minants whose entries are rising powers of the Fibonacci numbers given by Prodinger. We then generalize the determinants to include entries that are rising powers of the terms in a second order linear recurrence.

UR - https://www.scopus.com/pages/publications/85039861735

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DO - 10.1080/00150517.2016.12427802

M3 - Article

AN - SCOPUS:85039861735

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SP - 340

EP - 343

JO - Fibonacci Quarterly

JF - Fibonacci Quarterly

IS - 4

ER -

Determinants of rising powers of second order linear recurrence entries by means of the Desnanot-Jacobi identity

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