Copy For Citation
Torunbalcı Aydın F., Yüce S.
FILOMAT, vol.31, pp.5567-5579, 2017 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
31
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Publication Date:
2017
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Doi Number:
10.2298/fil1718567t
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Journal Name:
FILOMAT
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Page Numbers:
pp.5567-5579
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Keywords:
Jacobsthal number, Jacobsthal-Lucas number, Jacobsthal quaternion, Jacobsthal-Lucas quaternion, COMPLEX FIBONACCI NUMBERS, DUAL QUATERNIONS, POLYNOMIALS
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Yıldız Technical University Affiliated:
Yes
Abstract
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 Jacobsthal-Lucas numbers. Furthermore, we gave the Binet formulas and Cassini identities for these quaternions.