Results 81 to 90 of about 1,544,471 (165)

Split Jacobsthal and Jacobsthal-Lucas quaternions [PDF]

open access: yes, 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

Gaussian Jacobsthal and Gaussian Jacobsthal Lucas numbers

open access: yes, 2013
In this study we define and study the Gaussian Jacob-sthal and Gaussian Jacobsthal Lucas numbers. We give generating functions, Binet formulas, explicit formulas and Q matrix of these numbers.
Gürel, Eşref, Aşçı, Mustafa
core  

On Generalizations of the Jacobsthal sequence [PDF]

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

Gaussian Jacobsthal and Gaussian Jacobsthal Lucas polynomials

open access: yes, 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  

On generalized bihyperbolic third-order Jacobsthal polynomials [PDF]

open access: yes
summary:A new generalization of third-order Jacobsthal bihyperbolic polynomials is introduced. Some of the properties of presented polynomials are given.
Cerda-Morales, Gamaliel
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

On Generalized Jacobsthal and Jacobsthal-Lucas polynomials

open access: yes, 2016
In this paper we introduce a generalized Jacobsthal and Jacobsthal-Lucas polynomials, Jh,n and jh,n, respectively, that consist on an extension of Jacobsthal's polynomials Jn(𝑥) and Jacobsthal-Lucas polynomials jn(𝑥).
Paula Catarino, Maria Luisa Morgado
core   +1 more source

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

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