Split Pell and Pell–Lucas Quaternions

Split Pell and Pell–Lucas Quaternions

The aim of this work is to introduce split Pell and split Pell–Lucas quaternions. We give generating functions and Binet formulas for these numbers. Also, we obtain many identities for split Pell and split Pell–Lucas quaternions including Catalan’s identity, Cassini’s identity and d’Ocagne’s identit...

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Veröffentlicht in:Advances in applied Clifford algebras 2017-06, Vol.27 (2), p.1881-1893
Hauptverfasser: Tokeşer, Ümit, Ünal, Zafer, Bilgici, Göksal
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Cassini mission
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Quaternions
Theoretical
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Beschreibung
Zusammenfassung:The aim of this work is to introduce split Pell and split Pell–Lucas quaternions. We give generating functions and Binet formulas for these numbers. Also, we obtain many identities for split Pell and split Pell–Lucas quaternions including Catalan’s identity, Cassini’s identity and d’Ocagne’s identity.
ISSN:0188-7009
1661-4909
DOI:10.1007/s00006-016-0747-x