Results 121 to 130 of about 1,206 (140)

Some new properties of modified Jacobsthal and Jacobsthal-Lucas numbers

AIP Conference Proceedings, 2014
A certain generalization of Jacobsthal numbers was proposed in the form Jns,t = sn-(t)ns+t, where n ≥ 0 is a natural number and s ≠ -t are arbitrary real numbers (Atanassov 2011). As an analogue, a modification of Jacobsthal-Lucas numbers was formulated in the form jns,t = sn+(-t)n, where n is a natural number and s and t are arbitrary real numbers ...
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The Differential Equation in Terms of Jacobsthal and Jacobsthal-Lucas Numbers

2023
Progress in Applied Science and Technology, 13, 1, 1 ...
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Numerous Determinants Identities Involving Jacobsthal and Jacobsthal Lucas Numbers

Communications on Applied Nonlinear Analysis
Determinants have played an important role in many areas of mathematics. As an example, they are extremely useful in the research and resolution of linear equation and system problems. The study of determinants can be approached from several distinct angles.
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Jacobsthal numbers and associated Hessenberg matrices

2018
Summary: In this paper, we define two \(n\times n\) Hessenberg matrices, one of which corresponds to the adjacency matrix of a bipartite graph. We then investigate the relationships between the Hessenberg matrices and the Jacobsthal numbers. Moreover, we give Maple algorithms to verify our results.
Oteles, Ahmet, Karatas, Zekeriya Y., Zangana, Diyar O. Mustafa   +2 more
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Complex Factorizations of the Jacobsthal and Jacobsthal Lucas Numbers

2010
In this paper, we present the complex factorizations of the Jacobsthal and Jacobsthal Lucas numbers by determinants of tridiagonal matrices.
Arslan, Saadet, Köken, Fikri
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Integral representations of the Jacobsthal and Jacobsthal-Lucas numbers

Our study aims to obtain integral representations of Jacobsthal J_kn and Jacobsthal-Lucas L_kn, and then to use these integral representations to derive integral representations of Jacobsthal J_kn+r and Jacobsthal-Lucas L_kn+r, where n\in Z_0={0,1,2,..} is a non-negative integer, k \in Z_>0=1,2,3,...  is an arbitrary but fixed positive integer, while r
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On dual hyperbolic numbers with generalized Jacobsthal numbers components

Indian Journal of Pure and Applied Mathematics, 2022
Yüksel Soykan, Erkan Taşdemir
exaly  

Common terms of Leonardo and Jacobsthal numbers

Rendiconti Del Circolo Matematico Di Palermo, 2023
exaly  

A Note on Jacobsthal Quaternions

Advances in Applied Clifford Algebras, 2015
Anetta Szynal-Liana, Iwona Włoch
exaly  

Some Binomial Sums of \(\kappa\)-Jacobsthal and \(\kappa\)-Jacobsthal-Lucas Numbers

Communications in Mathematics and Applications, 2023
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