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Discussiones Mathematicae - General Algebra and Applications, 2020 In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the ...
Boughaba Souhila +2 more
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An Alternating Sum of Fibonacci and Lucas Numbers of Order k
Mathematics, 2020 During the last decade, many researchers have focused on proving identities that reveal the relation between Fibonacci and Lucas numbers. Very recently, one of these identities has been generalized to the case of Fibonacci and Lucas numbers of order k ...
Spiros D. Dafnis +2 more
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Congruences for $q$-Lucas Numbers
The Electronic Journal of Combinatorics, 2013 For $\alpha,\beta,\gamma,\delta\in{\mathbb Z}$ and ${\rm\nu}=(\alpha,\beta,\gamma,\delta)$, the $q$-Fibonacci numbers are given by$$F_0^{{\rm\nu}}(q)=0,\ F_1^{{\rm\nu}}(q)=1\text{ and }F_{n+1}^{{\rm\nu}}(q)=q^{\alpha n-\beta}F_{n}^{{\rm\nu}}(q)+q^{\gamma n-\delta}F_{n-1}^{{\rm\nu}}(q)\text{ for }n\geq 1.$$And define the $q$-Lucas number $L_{n}^{{\rm\nu}
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Some properties of bicomplex Pell and Pell-Lucas numbers
, 2021 In this work, we investigated bicomplex Pell and Pell-Lucas numbers.
Serpil Halici +3 more
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Transcripts enriched in codons that trigger P‐site tRNA‐mediated mRNA decay possess stable mRNA
FEBS Open Bio, EarlyView.PTMD codons were first described by Mendel et al. as mediators of an mRNA decay pathway dependent on the human protein CNOT3, homologous to yeast Not5. Our findings confirm that PTMD codons destabilize transcripts; however, unlike in yeast, the human pathway specifically targets and slightly destabilizes primarily stable mRNAs.
Rodolfo Lopes Carneiro +1 more
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On the Hyperbolic Leonardo and Hyperbolic Francois Quaternions
Journal of New Theory, 2023 In this paper, we present a new definition, referred to as the Francois sequence, related to the Lucas-like form of the Leonardo sequence. We also introduce the hyperbolic Leonardo and hyperbolic Francois quaternions.
Paula Maria Machado Cruz Catarino +2 more
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On the Intersections of Fibonacci, Pell, and Lucas Numbers [PDF]
Integers, 2011 AbstractWe describe how to compute the intersection of two Lucas sequences of the ...
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ATZ‐1 promotes DNA replication efficiency to maintain normal meiotic function
FEBS Open Bio, EarlyView.Absence of ATZ‐1 interferes with meiotic DNA replication and cell cycle function via CHK‐1. This causes downstream defects associated with DNA damage and genomic integrity. Taken together, this study suggests that ATZ‐1 influences DNA replication efficiency and cell cycle function to maintain normal meiotic function.
Taylin E. Gourley +5 more
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Higher-Order Jacobsthal–Lucas Quaternions
Axioms, 2022 In this work, we define higher-order Jacobsthal–Lucas quaternions with the help of higher-order Jacobsthal–Lucas numbers. We examine some identities of higher-order Jacobsthal–Lucas quaternions. We introduce their basic definitions and properties.
Mine Uysal, Engin Özkan
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Fibonacci numbers and Lucas numbers
, 2016 Neste trabalho, exploramos os números de Fibonacci e de Lucas. A maioria dos resultados históricos sobre esses números são apresentados e provados. Ao longo do texto, um grande número de identidades a respeito dos números de Fibonacci e de Lucas são ...
Silva, Bruno Astrolino e
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