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On Jacobsthal and Jacobsthal–Lucas Octonions [PDF]

Mediterranean Journal of Mathematics, 2017
WOS:000396095300002Various families of quaternion and octonion number sequences (such as Fibonacci quaternion, Fibonacci octonion, and so on) have been established by a number of authors in many different ways.
Ahmet Ipek
exaly   +5 more sources

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Structural and closed-form analysis of Jacobsthal and Jacobsthal Lucas p-numbers

Proceedings of the Indian National Science Academy
Bahar Kuloğlu
exaly   +2 more sources

The Differential Equation in Terms of Jacobsthal and Jacobsthal-Lucas Numbers

2023
Progress in Applied Science and Technology, 13, 1, 1 ...
openaire   +1 more source

Complex Factorizations Of The Jacobsthal And Jacobsthal Lucas Numbers.

Ars Comb., 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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Jacobsthal and Jacobsthal-Lucas numbers and sums introduced by Jacobsthal and Tverberg

J. Integer Seq., 2017
Summary: We study the sums introduced by \textit{E. Jacobsthal} [Norske Vid. Selsk. Forhdl. 30, 35--41 (1957; Zbl 0080.26102)] and \textit{H. Tverberg} [Acta Arith. 155, No. 4, 349--351 (2012; Zbl 1276.11011)] and show that the extreme values of the sums are connected with Jacobsthal and Jacobsthal-Lucas numbers.
Kritkhajohn Onphaeng, Prapanpong Pongsriiam   +1 more
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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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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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Higher-Order Jacobsthal–Lucas Quaternions

Axioms, 2022
Mine Uysal, Engin Özkan
exaly  

Hyperbolic $$\pmb k$$-Jacobsthal and $$\pmb k$$-Jacobsthal-Lucas Quaternions

Indian Journal of Pure and Applied Mathematics, 2021
A D Godase, Mine Uysal, Engin Özkan
exaly  

On k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers

Journal of Discrete Mathematical Sciences and Cryptography, 2021
Nayil Kilic
exaly