Results 11 to 20 of about 20,060 (113)

Incomplete Bivariate Fibonacci and Lucas 𝑝-Polynomials [PDF]

Discrete Dynamics in Nature and Society, 2012
We define the incomplete bivariate Fibonacci and Lucas 𝑝-polynomials. In the case 𝑥=1, 𝑦=1, we obtain the incomplete Fibonacci and Lucas 𝑝-numbers. If 𝑥=2, 𝑦=1, we have the incomplete Pell and Pell-Lucas 𝑝-numbers.
Dursun Tasci, Mirac Cetin Firengiz, Naim Tuglu   +2 more
doaj   +2 more sources

Horadam–Lucas Cubes [PDF]

Axioms
In this paper, we introduce a novel class of graphs referred to as the Horadam–Lucas cubes. This class extends the concept of Lucas cubes and retains numerous desirable properties associated with them.
Elif Tan, Luka Podrug, Vesna Iršič Chenoweth   +2 more
doaj   +2 more sources

Fibonacci–Lucas–Pell–Jacobsthal relations [PDF]

, 2022
In this paper, we prove several identities involving linear combinations of convolutions of the generalized Fibonacci and Lucas sequences. Our results apply more generally to broader classes of second-order linearly recurrent sequences with constant ...
Goy, Taras, Frontczak, Robert, Shattuck, Mark   +2 more
core   +4 more sources

Higher-Order Jacobsthal–Lucas Quaternions [PDF]

, 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.
Engin Özkan, Mine Uysal
core   +1 more source

A New Generalization of Jacobsthal Lucas Numbers (Bi-Periodic Jacobsthal Lucas Sequence)

Journal of Advances in Mathematics and Computer Science, 2020
In this study, we bring into light a new generalization of the Jacobsthal Lucas numbers, which shall also be called the bi-periodic Jacobsthal Lucas sequence as   with initial conditions $$\ \hat{c}_{0}=2,\ \hat{c}_{1}=a.$$ The Binet formula as well as the generating function for this sequence are given. The convergence property of the consecutive
Evans Owusu, Sukran Uygun
openaire   +2 more sources

On Some Q-Dual Bicomplex Jacobsthal Numbers [PDF]

, 2023
3rd International Conference on Mathematics and its Applications in Science and Engineering, ICMASE 2022 -- 4 July 2022 through 7 July 2022 -- 291239In this study, we benefited from dual bicomplex numbers and quantum analysis studies, which were ...
Halıcı, Serpil, Curuk, S.
core   +1 more source

-order Fibonacci and Lucas hybrid numbers [PDF]

, 2021
In this study, we describe the generalized k-order Fibonacci and Lucas numbers and give some important results with specific choices. The main purpose of this study is to define the generalized k-order Fibonacci hybrid and Lucas hybrid numbers and give ...
Suleyman Aydinyuz, Asci, Mustafa, Aydinyuz, Suleyman, Mustafa Asci   +3 more
core   +1 more source

Applications of Jacobsthal and Jacobsthal-Lucas numbers in coding theory

Mathematica Montisnigri, 2023
In this article, we have developed a new method for coding\decoding the Jacobsthal and Jacobsthal-Lucas sequences via matrix representations. In this method, coding\decoding is done by transforming the messages into a square matrix. This process aims to not only increase the reliability of information security technology but also to provide the ability
Bahar Kuloğlu, Engin Özkan
openaire   +1 more source

The Third Order Jacobsthal Octonions: Some Combinatorial Properties

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of authors in many di erent ways.
Cerda-Morales Gamaliel
doaj   +1 more source

On Bicomplex Jacobsthal-Lucas Numbers

Journal of Mathematical Sciences and Modelling, 2020
In this study we introduced a sequence of bicomplex numbers whose coefficients are chosen from the sequence of Jacobsthal-Lucas numbers. We also present some identities about the known some fundamental identities such as the Cassini's, Catalan's and Vajda's identities.
openaire   +6 more sources