Results 121 to 130 of about 616 (205)

Fibonacci-Lucas Spinors Obtained from Hybrid Numbers [PDF]

open access: yes
The aim of this work is to provide the contributors to journals or Hybrid numbers, akin to spinors, possess a broad range of applications in mathematical physics, geometry, and mathematics.
Karaahmetoğlu, Savaş   +2 more
core   +1 more source

Construction of helices from Lucas and Fibonacci sequences

open access: yes, 2017
By means of two complex-valued functions (depending on an integer parameter P>=1) we construct helices of integer ratio R>=1 related to the so-called Binet formulae for P-Lucas and P-Fibonacci sequences. Based on these functions a new map is defined and we show that its three-dimensional representation is also a helix.
openaire   +2 more sources

Analytical Characterization of Self-Similarity in k-Cullen Sequences Through Generating Functions and Fibonacci Scaling

open access: yesFractal and Fractional
In this study, we define the k-Cullen, k-Cullen–Lucas, and Modified k-Cullen sequences, and certain terms in these sequences are given. Then, we obtain the Binet formulas, generating functions, summation formulas, etc.
Hakan Akkuş   +2 more
doaj   +1 more source

KmerKeys: a web resource for searching indexed genome assemblies and variants. [PDF]

open access: yesNucleic Acids Res, 2022
Pavlichin DS   +5 more
europepmc   +1 more source

Divisibility properties of Fibonacci and Lucas numbers [PDF]

open access: yes, 2009
Bu çalışma beş bölümden oluşmaktadır. Birinci bölümde; konuya ait literatür özeti verilmiştir, ikinci bölümde; tam sayılarda bölünebilme özelikleri verilmiştir. Üçüncü bölümde Fibonacci ve Lucas sayıları ve temel özelikleri verilmiştir.
Toy, Memnune
core  

Global Behavior of Solutions to a Higher-Dimensional System of Difference Equations with Lucas Numbers Coefficients

open access: yesMathematical and Computational Applications
In this paper, we derive the well-defined solutions to a θ-dimensional system of difference equations. We show that, the well-defined solutions to that system are represented in terms of Fibonacci and Lucas sequences.
Messaoud Berkal   +2 more
doaj   +1 more source

From Lucas Sequences to Lucas Groups [PDF]

open access: yes, 2018
Lucas sequences, which generalize the famous Fibonacci sequence, have been studied extensively in the context of number theory and cryptography. Lucas groups, a more recently defined structure, are less studied.
Hansen, Kayson
core  

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