Results 81 to 90 of about 1,634,732 (135)

ON k-JACOBSTHAL AND k-JACOBSTHAL-LUCAS OCTONIONS

open access: yes, 2019
In this paper, we investigate the k-Jacobsthal octonions and the k-Jacobsthal-Lucas octonions, we give the Binet formulas, generating functions and exponential generating functions of these octonions.
KILIÇ, Nayil
core   +1 more source

Right Circulant Matrices with Jacobsthal Sequence

open access: yesInternational Journal of Advanced Mathematical Sciences, 2013
In this paper, the eigenvalues, Euclidean norm and inverse of right circulant matrices with Jacobsthal sequence were obtained.
openaire   +2 more sources

A note on modified third-order Jacobsthal quaternions and their properties [PDF]

open access: yes
Modified third-order Jacobsthal quaternion sequence is defined in this study. Some properties involving this sequence, including the Binet-style formula and the generating function are ...
Morales, Gamaliel
core   +1 more source

On Jacobsthal and Jacobsthal-Lucas hybrid numbers [PDF]

open access: yes, 2018
The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their ...
Szynal-Liana, Anetta, Włoch, Iwona
core   +1 more source

On Generalizations of the Jacobsthal sequence [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2018
openaire   +3 more sources

ON SPLIT k- JACOBSTHAL AND k- JACOBSTHAL-LUCAS QUATERNIONS

open access: yes, 2019
In this paper, we investigate the split k- Jacobsthal and k- Jacobsthal-Lucas quaternions, we give the Binet formulas, generating functions and exponential generating functions of these quaternions.
Kilic, Nayil
core   +1 more source

On the Mersenne sequence [PDF]

open access: yes
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   +2 more
core  

A new approach to Jacobsthal quaternions

open access: yes, 2017
The Jacobsthal quaternions defined by Szynal-Liana and Wloch [35]. In this paper, we defined some properties of Jacobsthal quaternions. Also, we investigated the relations between the Jacobsthal quaternions which connected with Jacobsthal and ...
Fügen Torunbalcı-Aydın   +3 more
core   +1 more source

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