Results 11 to 20 of about 1,634,732 (135)

Matrix Structure of Jacobsthal Numbers

Journal of Function Spaces, 2021
The main scenario of this paper is to introduce a new sequence of Jacobsthal type having a generalized order j. Some basic properties will be studied concerning it. Also, we will establish the generalized Binet formula.
Abdul Hamid Ganie, Mashael M. AlBaidani
doaj   +3 more sources

On Bicomplex Jacobsthal-Lucas Numbers [PDF]

Journal of Mathematical Sciences and Modelling, 2020
In this study we introduced a sequence of bicomplex numbers whose coefficients are chosen from the sequence of Jacobsthal-Lucas numbers. We also present some identities about the known some fundamental identities such as the Cassini's, Catalan's and ...
Serpil Halıcı
doaj   +2 more sources

A Hybrid Matrix–Based Encoding Scheme With Error Detection via Third-Order Recurrences

Journal of Mathematics
In this paper, we propose a novel encoding–decoding algorithm based on third-order linear recurrence sequences and their associated matrix representations.
Sukran Uygun
doaj   +2 more sources

The (s, t)-Generalized Jacobsthal Matrix Sequences

, 2016
3rd International Conference on Applied Mathematics and Approximation Theory (AMAT) -- MAY 28-31, 2015 -- TOBB Univ Econ & Technol, Ankara, TURKEYIn this study, we consider sequences named (s,t)-Jacobsthal, (s,t)-Jacobsthal-Lucas and defined ...
Uslu, Kemal, Şükran Uygun, Uygun, Sukran, Kemal Uslu   +3 more
core   +2 more sources

On New Spinor Sequences of Jacobsthal and Jacobsthal-Lucas Quaternions

Adıyaman University Journal of Science
In this study, two new spinor sequences using spinor representations of Jacobsthal and Jacobsthal-Lucas quaternions are defined. Moreover, some formulas such that Binet, Cassini, summation formulas and generating functions of these spinor sequences ...
Güngör, Mehmet Ali, Erişir, Tülay
core   +3 more sources

THE JACOBSTHAL SEQUENCES IN FINITE GROUPS

, 2016
In this paper, we study the generalized order-k Jacobsthal sequences modulo m for k >= 2 and the generalized order-k Jacobsthal-Padovan sequence modulo m for k >= 3. Also, we define the generalized order-k Jacobsthal orbit of a k-generator group for k >=
Deveci, O., Saglam, G., Karaduman, Erdal
core   +2 more sources

THE ADJACENCY-JACOBSTHAL SEQUENCE IN FINITE GROUPS

, 2019
The adjacency-Jacobsthal sequence and the adjacency-Jacobsthal matrix were defined by Deveci and Artun (see [5]). In this work, we consider the cyclic groups which are generated by the multiplicative orders of the adjacency-Jacobsthal matrix when read ...
Akuzum, Yesim, KARADUMAN, Erdal, DEVECİ, ÖMÜR   +2 more
core   +2 more sources

The (s,t) Jacobsthal and (s, t) Jacobsthal-Lucas matrix sequences

Ars Comb., 2013
In this study, we first define new sequences named (s,t)-Jacobsthal and (s, t) Jacobsthal-Lucas sequences. After that, by using these sequences, we establish (s, t)- Jacobsthal and (s, t) Jacobsthal-Lucas matrix sequences.
Uygun S., Uslu K.
core   +4 more sources

On the recurrences of the Jacobsthal sequence

MATHEMATICA, 2023
In the present work, two new recurrences of the Jacobsthal sequence are defined. Some identities of these sequences which we call the Jacobsthal array is examined. Also, the generating and series functions of the Jacobsthal array are obtained.
Orhan Diskaya, Hamza Menken
openaire   +2 more sources

Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator

International Journal of Mathematics and Mathematical Sciences, Volume 2023, Issue 1, 2023., 2023
In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. For functions in this class, we derive the estimations for the initial Taylor–Maclaurin coefficients |a2| and |a3|.
Waleed Al-Rawashdeh, Teodor Bulboaca
wiley   +1 more source