Results 31 to 40 of about 14,002 (132)

On the bounds for the norms of Toeplitz matrices with the Jacobsthal and Jacobsthal Lucas numbers

Journal of Engineering Technology and Applied Sciences, 2019
In this study, we compute the value of the various norms of the Toeplitz matrices whose elements are Jacobsthal numbers, Jacobsthal Lucas numbers and upper and lower bounds for the spectral norms of these matrices.
S. Uygun
semanticscholar   +4 more sources

ON THE BOUNDS FOR THE NORMS OF R-CIRCULANT MATRICES WITH THE JACOBSTHAL AND JACOBSTHAL LUCAS NUMBERS [PDF]

International Journal of Pure and Apllied Mathematics, 2017
The Jacobsthal {jn}n∈N, and the Jacobsthal Lucas {cn}n∈N sequences are defined recurrently by jn = jn−1 + 2jn−2, j0 = 0, j1 = 1, n ≥ 2, (1) cn = cn−1 + 2cn−2, c0 = 2, c1 = 1, n ≥ 2, (2) respectively. There have been several papers on the norms of special
cS. Uygun
semanticscholar   +2 more sources

A Study on Altered Jacobsthal Lucas Numbers Squared: Structural Properties and Applications

Asian Research Journal of Mathematics
We examine two variations of the Jacobsthal Lucas numbers, denoted as \(G^{(2)}_{j(n)}\)(a) and \(H^{(2)}_{j(n)}\)(a) which are derived through the addition or subtraction of a specific value {a} from the square of the nth Jacobsthal Lucas numbers due to
Fikri Koken
semanticscholar   +2 more sources

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.
T.Ragunathan, D. Choudhary, G. V. Narayanan, S. Jagadeesh   +3 more
semanticscholar   +2 more sources

The Jacobsthal and Jacobsthal-Lucas numbers via square roots of matrices

International Mathematical Forum, 2016
In this paper, the Jacobsthal and Jacobsthal-Lucas numbers with specialized rational subscripts are studied by using square roots of the matrices Fn and Sn.
Saadet Arslan, Fikri Köken
semanticscholar   +2 more sources

On the Generalized Order-k Jacobsthal and Jacobtshal-Lucas Numbers [PDF]

Fundamentals of Contemporary Mathematical Sciences
The classic Jacobsthal numbers were generalized to k sequences of the generalized order-k Jacobsthal numbers and then have been studied by several authors.
Ahmet Daşdemir, Göksal Bilgici, Hossen Ahmed   +2 more
semanticscholar   +2 more sources

Generalized Identities Involving Common Factors of Generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas Numbers

International Journal of Applied Mathematical Research, 2012
In this paper, we present generalized identities involving common factors of generalized Fibonacci, Jacobsthal and jacobsthal-Lucas numbers. Binet’s formula will employ to obtain the identities.
Y. Panwar, B. Singh, V. Gupta
semanticscholar   +3 more sources

k-Jacobsthal and k-Jacobsthal Lucas Numbers and their Associated Numbers

International Journal of Research in Advent Technology, 2019
G.Srividhya, T.Ragunathan
semanticscholar   +2 more sources

Formulae for sums of Jacobsthal-Lucas numbers

International Mathematical Forum, 2007
Z. Čerin
semanticscholar   +2 more sources

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

Communications in Mathematics and Applications, 2023
A. D. Godase
semanticscholar   +2 more sources