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On Pell Quaternions and Pell-Lucas Quaternions

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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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Art and Science, Mustafa Kemal University, Tayfur Sökmen Campus, 31000, Hatay, Turkey

    Cennet Bolat Çimen

  2. Department of Mathematics, Faculty of Kamil Özdağ Science, Karamanoğlu Mehmetbey University, 70100, Karaman, Turkey

    Ahmet İpek

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  1. Cennet Bolat Çimen
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  2. Ahmet İpek
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Correspondence to Cennet Bolat Çimen.

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Çimen, C.B., İpek, A. On Pell Quaternions and Pell-Lucas Quaternions. Adv. Appl. Clifford Algebras 26, 39–51 (2016). https://doi.org/10.1007/s00006-015-0571-8

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  • DOI: https://doi.org/10.1007/s00006-015-0571-8

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