Results 71 to 80 of about 1,634,732 (135)

Applications and properties of Jacobsthal and Jacobsthal Lucas numbers [PDF]

, 2008
Bu çalışmada, Horadam tarafından tanımlanmış olan Jacobsthal ve Jacobsthal Lucas sayılarının verilen özelliklerine ek olarak bazı özellikler elde edildi. Jacobsthal sayılarının bölünebilme özellikleri verildi.
Köken, Fikri
core  

-Jacobsthal-Lucas hybrid numbers

, 2021
In this paper, we consider the k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers. We obtain the Binet formulas, generating functions, exponential generating functions and summation formulas of k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers. Also, we
Nayil Kilic, KILIÇ, Nayil
core   +1 more source

Bicomplex Third-order Jacobsthal Quaternions [PDF]

, 2018
The aim of this work is to consider the bicomplex third-order Jacobsthal quaternions and to present some properties involving this sequence, including the Binet-style formulae and the generating functions.
Cerda, Gamaliel, Gamaliel Cerda-Morales
core   +1 more source

Matrix Representation of Bi-Periodic Jacobsthal Sequence

Journal of Advances in Mathematics and Computer Science, 2020
In this paper, we bring into light the matrix representation of bi-periodic Jacobsthal sequence, which we shall call the bi-periodic Jacobsthal matrix sequence. We dene it as with initial conditions J0 = I identity matrix, . We obtained the nth general term of this new matrix sequence. By studying the properties of this new matrix sequence,
Uygun, Sukran, Owusu, Evans
openaire   +4 more sources

A combined approach to Perrin and Padovan hybrid sequences. [PDF]

Heliyon, 2021
Jafari Petroudi SH, Pirouz M, Karaca E, Yılmaz F.   +3 more
europepmc   +1 more source

Generalized Jacobsthal-Narayana Numbers and Generalized Co-Jacobsthal-Narayana Numbers

This paper introduces two innovative third-order recurrence sequences: the generalized Jacobsthal-Narayana sequence and the co-Jacobsthal-Narayana sequence.
Soykan, Yuksel
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 a unified approach to homogeneous second-order linear difference equations with constant coefficients and some applications

Special Matrices
In this article, we establish a new closed formula for the solution of homogeneous second-order linear difference equations with constant coefficients by using matrix theory.
Kaddoura Issam, Mourad Bassam
doaj   +1 more source

Split Jacobsthal and Jacobsthal-Lucas quaternions [PDF]

, 2019
In this paper, we introduce split Jacobsthal and split Jacobsthal-Lucas quaternions. We obtain generating functions and Binet's formulas for these quaternions.
Yağmur, Tülay
core   +1 more source

On the Mersenne sequence [PDF]

, 2016
From Binet’s formula of Mersenne sequence we get some properties for this sequence. Mersenne, Jacobsthal and Jacobsthal-Lucas sequences are considered in order to achieve some relations between them, sums and certain products involving terms of these ...
Campos, Helena, Vasco, Paulo, Catarino, Paula   +2 more
core   +1 more source