Journals / Hacettepe Journal of Mathematics and Statistics / 2014 / Cilt: 43 - Sayı: 6

On the Fibonacciand Lucasnumbers, their sums and permanents of one type of Hessenberg matrices

Pages
1001–1007
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Atthispaper,wederivesomerelationshipsbetweenpermanentsofonetypeoflower-HessenbergmatrixfamilyandtheFibonacciandLucasnumbersandtheirsums.2000AMSClassification: 15A36,15A15,11B37

📌 3 Key Takeaways

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Objective & Hypothesis:Atthispaper,wederivesomerelationshipsbetweenpermanentsofonetypeoflower-HessenbergmatrixfamilyandtheFibonacciandLucasnumbersandtheirsums.2000AMSClassification: 15A36,15A15,11B37
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Key Findings & Data:Atthispaper,wederivesomerelationshipsbetweenpermanentsofonetypeoflower-HessenbergmatrixfamilyandtheFibonacciandLucasnumbersandtheirsums.2000AMSClassification: 15A36,15A15,11B37
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Conclusion & Impact:Atthispaper,wederivesomerelationshipsbetweenpermanentsofonetypeoflower-HessenbergmatrixfamilyandtheFibonacciandLucasnumbersandtheirsums.2000AMSClassification: 15A36,15A15,11B37
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Atthispaper,wederivesomerelationshipsbetweenpermanentsofonetypeoflower-HessenbergmatrixfamilyandtheFibonacciandLucasnumbersandtheirsums.2000AMSClassification: 15A36,15A15,11B37

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Cite This Article

YILMAZ, F., BOZKURT, D. (2022). On the Fibonacciand Lucasnumbers, their sums and permanents of one type of Hessenberg matrices. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 6, 1001–1007. https://ajindex.com/articles/530341

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References (1)

  1. H.Minc, EncyclopediaofMathematicsandItsApplications,Permanents,Vol.6,Addison- WesleyPublishingCompany,London,1978. [2]F.Yılmaz,D.Bozkurt, HessenbergmatricesandthePellandPerrinnumbers,Journalof NumberTheory,131(2011)1390-1396. [3]G.Y.Lee, k -Lucasnumbersandassociatedbipartitegraphs,LinearAlgebraandItsAppli- cations,320(2000)51. [4]D.H.Lehmer, Fibonacciandrelatedsequencesinperiodictridiagonal matrices,FibonacciQuarterly12(1975)150-158. [5]E.KılıçandD.Taşçı, NegativelysubscriptedFibonacciandLucasnumbersandtheircomplex factorizations,ArsCombinatoria96(2010)275-288. [6]R.A.Brualdi,P.M.Gibson, ConvexpolyhedraofDoublyStochasticmatricesI:applications ofthepermanentfunction,J.Combin.Theo.A1977,194-230.