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Eurasian Mathematical Journal, 2011, Volume 2, Number 2, Pages 60–74 (Mi emj52)  
This article is cited in 4 scientific papers (total in 4 papers)

On the determinants of pentadiagonal matrices with the classical Fibonacci, generalized Fibonacci and Lucas numbers

A. İpek

Department of Mathematics, Faculty of Art and Science, Mustafa Kemal University, Hatay, Turkey
Full-text PDF (413 kB) Citations (4)
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Abstract: In this paper, we compute the determinants of several pentadiagonal matrices with the generalized Fibonacci, generalized Lucas numbers and the determinant of a pentadiagonal matrix with the classical Fibonacci numbers, and then we show how the classical Fibonacci numbers arise as determinants of some pentadiagonal matrices.
Keywords and phrases: classical Fibonacci numbers, generalized Fibonacci numbers, generalized Lucas numbers, pentadiagonal matrices.
Received: 19.05.2010
Bibliographic databases:
Document Type: Article
MSC: 11B39
Language: English
Citation: A. İpek, “On the determinants of pentadiagonal matrices with the classical Fibonacci, generalized Fibonacci and Lucas numbers”, Eurasian Math. J., 2:2 (2011), 60–74
Citation in format AMSBIB
\Bibitem{Ipe11}
\by A.~{\. I}pek
\paper On the determinants of pentadiagonal matrices with the classical Fibonacci, generalized Fibonacci and Lucas numbers
\jour Eurasian Math. J.
\yr 2011
\vol 2
\issue 2
\pages 60--74
\mathnet{http://mi.mathnet.ru/emj52}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2910831}
\zmath{https://zbmath.org/?q=an:1258.11020}
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  • https://www.mathnet.ru/eng/emj/v2/i2/p60
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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