Results 1 to 10 of about 14,002 (132)
On Generalized Jacobsthal and Jacobsthal–Lucas Numbers [PDF]
Annales Mathematicae Silesianae, 2022 Jacobsthal numbers and Jacobsthal–Lucas numbers are some of the most studied special integer sequences related to the Fibonacci numbers. In this study, we introduce one parameter generalizations of Jacobsthal numbers and Jacobsthal–Lucas numbers.
Bród Dorota, Michalski Adrian
doaj +6 more sources
On r-Jacobsthal and r-Jacobsthal-Lucas Numbers [PDF]
Annales Mathematicae Silesianae, 2023 Recently, Bród introduced a new Jacobsthal-type sequence which is called r-Jacobsthal sequence in current study. After defining the appropriate r-Jacobsthal–Lucas sequence for the r-Jacobsthal sequence, we obtain some properties of these two sequences ...
Bilgici Göksal, Bród Dorota
doaj +9 more sources
On Bicomplex Jacobsthal-Lucas Numbers [PDF]
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 ...
Serpil Halıcı
doaj +8 more sources
Determinants and inverses of circulant matrices with Jacobsthal and Jacobsthal–Lucas Numbers [PDF]
Applied Mathematics and Computation, 2012 Let n ⩾ 3 and let J n ≔ circ ( J 1 , J 2 , … , J n ) and j n ≔ circ ( j 0 , j 1 , … , j n - 1 ) be the n × n circulant matrices associated with the Jacobsthal numbers J 1 , … , J n and the Jacobsthal–Lucas numbers j 0 , … , j n - 1 , respectively.
Tin-Yau Tam, Durmus Bozkurt
exaly +9 more sources
Higher-Order Jacobsthal–Lucas Quaternions [PDF]
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
exaly +4 more sources
On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers [PDF]
Annales Mathematicae Silesianae, 2019 The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.
Anetta Szynal-Liana, Iwona Włoch
exaly +4 more sources
Incomplete generalized Jacobsthal and Jacobsthal-Lucas numbers
Mathematical and Computer Modelling, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Djordjevic, H. Srivastava
exaly +3 more sources
On the k-Jacobsthal-Lucas numbers by matrix methods
2015 International Conference on Science and Technology (TICST), 2015 In this paper, we define the k-Jacobsthal-Lucas A-matrix. By using this matrix representation, we obtain Cassini's formulas, Binet's formulas, and some identities for the k-Jacobsthal numbers and k-Jacobsthal-Lucas numbers.
Wanna Sriprad
exaly +4 more sources
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.
Bahar Kuloǧlu, E. Özkan
semanticscholar +2 more sources
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 ĉn = { bĉn−1 + 2ĉn−2, if n is even aĉn−1 + 2ĉn−2, if n is odd n ≥ 2, with initial conditions ...
S. Uygun, Evans Owusu
semanticscholar +3 more sources