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Complex Factorizations Of The Jacobsthal And Jacobsthal Lucas Numbers. [PDF]

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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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 ...
J. Rabago
semanticscholar   +2 more sources

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

Gaussian (p, q)-Jacobsthal and Gaussian (p, q)-Jacobsthal Lucas numbers and their some interesting properties

Journal of Mathematics and Physics, 2022
In the present article, we introduce two new notions, which are called Gaussian ( p, q)-Jacobsthal numbers sequence [Formula: see text] and Gaussian ( p, q)-Jacobsthal Lucas numbers sequence [Formula: see text], and we present and prove our exciting ...
N. Saba, A. Boussayoud
semanticscholar   +1 more source

Some identities involving common factors of k-Jacobsthal and k-Jacobsthal - Lucas Numbers

2015 International Conference on Science and Technology (TICST), 2015
Wasana Thongkamhaeng, N. Makate, Amaraporn Sengpanit   +2 more
exaly   +2 more sources

CIRCULANT, NEGACYCLIC AND SEMICIRCULANT MATRICES WITH THE MODIFIED PELL, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS [PDF]

, 2007
In this paper, we give some properties of the modified Pell, Jacobsthal and Jacobsthal-Lucas numbers. We then define the circulant, nega-cyclic and semicirculant matrices with these numbers and investigate the norms, eigenvalues and determinants of these matrices.
Kocer, E. Gokcen
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On the norms of Hankel matrices with the k-Jacobsthal and k-Jacobsthal Lucas numbers [PDF]

, 2014
In this paper, we dene the Hankel matrices with k-Jacobsthal and k- Jacobsthal Lucas numbers. Then we investigate upper and lower bounds for the spectral norms of these matrices.
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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 ...
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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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