Results 41 to 50 of about 35,208 (291)
Hybrinomials Related to Hyper-Fibonacci and Hyper-Lucas Numbers [PDF]
, 2023 ybrid number system is a generalization of complex, hyperbolic and dual numbers. Hybrid numbers and hybrid polynomials have been the subject of much research in recent years.
Mersin, Efruz Özlem
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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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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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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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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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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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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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FEBS Open Bio, EarlyView.Bioscience students were asked for their opinions on the value and teaching of skills. 204 responded that teamwork, time management and study skills are necessary to reach University, that scientific writing, research, laboratory and presentation skills are taught effectively during their studies, while other skills are gained inherently through study ...
Janella Borrell, Susan Crennell
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3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 In the study, it has been developed a method for deriving special matrices of 3x3 dimensions, whose powers are related to Fibonacci and Lucas numbers, and some special matrices have been found via the method developed.
Sinan Karakaya +2 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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