Journal Article

·2020 OPEN ACCESS

Dual Jacobsthal Quaternions

Fügen Torunbalcı Aydın YTU

Communications in Advanced Mathematical Sciences

Abstract

In this paper, dual Jacobsthal quaternions were defined. Also, the relations between dual Jacobsthal quaternions which connected with Jacobsthal and Jacobsthal-Lucas numbers were investigated. Furthermore, Binet's formula, Honsberger identity, D'ocagne's identity, Cassini's identity and Catalan's identity for these quaternions were given.

Keywords

Quaternion Identity (music) Dual (grammatical number) Dual quaternion Mathematics Algebra over a field Pure mathematics Art Philosophy Linguistics

Subject Areas

Advanced Mathematical Theories and Applications ·Statistical and Nonlinear Physics ·Physical Sciences
Advanced Mathematical Theories ·Mathematical Physics ·Physical Sciences
Biofield Effects and Biophysics ·Physiology ·Health Sciences

Citations by Year

OpenAlex SDG Match

SDGs auto-classified by OpenAlex (score ≥ 0.4 shown).

Reduced inequalities 46%

Related Articles

Other articles contributing to the same SDGs.

2026

Model-independent measurement of the Higgs boson associated production with two jets and decaying to a pair of W bosons in proton-proton collisions at $$ \sqrt{s}=13 $$ TeV

Journal of High Energy Physics

2026

Search for low-mass hidden-valley dark showers with non-prompt muon pairs in proton-proton collisions at $$ \sqrt{s}=13 $$ TeV

Journal of High Energy Physics

2026

Measurements of the inclusive W and Z boson production cross sections and their ratios in proton-proton collisions at $$\sqrt{s}=13.6$$ TeV

Journal of High Energy Physics

2026

Measurements of $$ \textrm{t}\overline{\textrm{t}}\textrm{W} $$ differential cross sections and the leptonic charge asymmetry at $$ \sqrt{s}=13 $$ TeV

Journal of High Energy Physics
All articles