Results 61 to 70 of about 1,789,377 (77)
A combined approach to Perrin and Padovan hybrid sequences. [PDF]
Heliyon, 2021 Jafari Petroudi SH +3 more
europepmc +1 more source
A Note on Generalized k-Order F&L Hybrinomials
AxiomsIn this study, we introduce generalized k-order Fibonacci and Lucas (F&L) polynomials that allow the derivation of well-known polynomial and integer sequences such as the sequences of k-order Pell polynomials, k-order Jacobsthal polynomials and k-order ...
Süleyman Aydınyüz +1 more
doaj +1 more source
A Hybrid Matrix-Based Cryptographic Framework Using Multiple Linear Recurrence Sequences
MathematicsIn this study, we propose a matrix-based transformation framework constructed from special integer sequences, including Fibonacci, Lucas, Pell, and Jacobsthal numbers.
Sukran Uygun
doaj +1 more source
On the Generalized Order-k Jacobsthal and Jacobtshal-Lucas Numbers
The classic Jacobsthal numbers were generalized to k sequences of the generalized order-k Jacobsthal numbers and then have been studied by several authors.
Ahmed, Hossen +2 more
core +1 more source
, 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
Kocer, E. Gokcen
core
On Summing Formulas for Horadam Numbers
, 2020 In this paper, closed forms of the summation formulas for generalized Fibonacci numbers arepresented. As special cases, we give summation formulas of Fibonacci, Lucas, Pell, Pell-Lucas,Jacobsthal, Jacobsthal-Lucas numbers.
Soykan, Y¨ uksel, Y¨uksel Soykan
core +1 more source
ON K-JACOBSTHAL AND K-JACOBSTHAL-LUCAS QUATERNIONS
, 2017 In this paper, we generalize Jacobsthal and Jacobsthal-Lucas quaternions to k-Jacobsthal and k-Jacobsthal-Lucas quaternions. We give Binet-like formulas, generating functions and matrix representation of k-Jacobsthal quaternions and kJacobsthal-Lucas ...
TAŞCI, DURSUN
core +1 more source
On the norms of Hankel matrices with the k-Jacobsthal and k-Jacobsthal Lucas numbers
, 2014 In this paper, we dene the Hankel matrices with k-Jacobsthal and k- Jacobsthal Lucas numbers.
core
Gaussian Jacobsthal and Gaussian Jacobsthal Lucas polynomials
, 2013 In this study we define and study the Gaussian Jacobsthal and Gaussian Jacobsthal Lucas polynomials. We give generating function, Binet formula, explicit formula, Q matrix, determinantal representations and partial derivation of these polynomials.
Gurel, E, Asci, M
core
Hessenberg matrices and the Pell-Lucas and Jacobsthal numbers
, 2015 There are many relationships between the number theory and matrix theory. In this work, we defined two upper Hessenberg Matrices and then we showed that the permanents of these Hessenberg matrices are Pell-Lucas and Jacobsthal numbers.
Köse, H. +3 more
core +1 more source