Results 111 to 120 of about 1,634,732 (135)

On Jacobsthal–Narayana and Jacobsthal-Narayana-Lucas Sequences

2022
This paper introduces two new integer sequences that are the third-order recurrence relations. These are called Jacobsthal–Narayana and Jacobsthal-Lucas-Narayana sequences. In particular, great attention is focused on the identification of the Binet type representations for our new sequence, including the generating functions, some important identities,
Jafari Petroudi, Seyyed Hossein, Daşdemir, Ahmet, Pirouz, Maryam   +2 more
openaire   +1 more source

Hyperbolic Jacobsthal Spinor Sequences and Their Mathematical Properties

Discrete Mathematics, Algorithms and Applications
In this study, novel Hyperbolic spinor sequences of Jacobsthal, Jacobsthal–Lucas and Jacobsthal polynomial, which have not been studied before, are defined by investigating the relationship between spinors, which are important mathematical objects used in physics and mathematics, and split Jacobsthal and split Jacobsthal–Lucas quaternions, which are ...
Abdullah Dertli, Beyza Özçevik
exaly   +3 more sources

Some Results of the Generalized Jacobsthal Sequence and the Generalized Jacobsthal–Lucas Sequence

Journal of Difference Equations and Applications
exaly   +2 more sources

Some Properties of Generalized Jacobsthal-Like Sequences

Karaelmas Science and Engineering Journal
In this article, using Jacobsthal and Jacobsthal-Lucas sequences, we define generalized Jacobsthal-Like sequences and investigate their algebraic properties like Binet’s formula, generating functions, Simson formula and summation formula. We also prove some other summation formulas like sum of even and odd indices and alternating sum of generalized ...
Can Murat Dikmen, Kübra Karataş Selam
exaly   +3 more sources

The adjacency-Jacobsthal-circulant sequence in groups

AIP Conference Proceedings, 2017
In this work, we study the adjacency-Jacobsthal-circulant sequence modulo α and we obtain the cyclic groups from the generating matrix of the adjacency-Jacobsthal-circulant numbers when read modulo α. Then, we derive the relationship among the periods of the adjacency-Jacobsthal-circulant sequence modulo α and the orders of the cyclic groups obtained ...
Ömür Deveci, Zafer Adıgüzel
openaire   +1 more source

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.
Çimen, Cennet Bolat, Ahmet İpek, Cennet Bolat Çimen, İpek, Ahmet, ÇİMEN, CENNET   +4 more
exaly   +2 more sources

Trigonometric Factorizations of the Pell and Jacobsthal Sequences

Journal of New Theory
The Pell and Jacobsthal numbers have inspired many studies in mathematics, especially in number theory. In this paper, we derive the trigonometric factorizations of the Pell and Jacobsthal sequences by using determinants of two specific new tridiagonal matrices and the roots of the Chebyshev polynomial of the second kind.
Ahmet Öteleş
exaly   +3 more sources

Derivative Sequences of Jacobsthal and Jacobsthal-Lucas Polynomials

The Fibonacci Quarterly, 1997
Alwyn F. Horadam, Piero Filipponi
openaire   +1 more source

Sylvester-Padovan-Jacobsthal-type sequences

2017
Maejo International Journal of Science and Technology, 11, 3 ...
openaire   +1 more source

Notes on Jacobsthal and Jacobsthal-like Sequences

International Journal of Mathematics Trends and Technology, 2016
openaire   +1 more source