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Split Pell and Pell–Lucas Quaternions

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics Faculty of Arts and Sciences, Kastamonu University, Kastamonu, Turkey

    Ümit Tokeşer & Zafer Ünal

  2. Department of Computer Education and Instructional Technology Education Faculty, Kastamonu University, Kastamonu, Turkey

    Göksal Bilgici

Authors
  1. Ümit Tokeşer
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  2. Zafer Ünal
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  3. Göksal Bilgici
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Correspondence to Ümit Tokeşer.

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Communicated by Bertfried Fauser

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Tokeşer, Ü., Ünal, Z. & Bilgici, G. Split Pell and Pell–Lucas Quaternions. Adv. Appl. Clifford Algebras 27, 1881–1893 (2017). https://doi.org/10.1007/s00006-016-0747-x

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  • DOI: https://doi.org/10.1007/s00006-016-0747-x

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