Copy For Citation
Çimen C. B., İpek A.
Advances in Applied Clifford Algebras, vol.26, no.1, pp.39-51, 2016 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
26
Issue:
1
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Publication Date:
2016
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Doi Number:
10.1007/s00006-015-0571-8
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Journal Name:
Advances in Applied Clifford Algebras
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Page Numbers:
pp.39-51
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Keywords:
Pell numbers, Pell quaternions, Pell-Lucas numbers, Pell-Lucas quaternions, Quaternion algebra
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Hatay Mustafa Kemal University Affiliated:
Yes
Abstract
The main object of this paper is to present a systematic investigation of new classes of quaternion numbers associated with the familiar Pell and Pell-Lucas numbers. The various results obtained here for these classes of quaternion numbers include recurrence relations, summation formulas and Binet’s formulas.