On Pell Quaternions and Pell-Lucas Quaternions

Çimen C., İpek A.

Advances in Applied Clifford Algebras, cilt.26, sa.1, ss.39-51, 2016 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00006-015-0571-8
  • Dergi Adı: Advances in Applied Clifford Algebras
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.39-51
  • Anahtar Kelimeler: Pell numbers, Pell quaternions, Pell-Lucas numbers, Pell-Lucas quaternions, Quaternion algebra
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.