On Pell Quaternions and Pell-Lucas Quaternions
Advances in Applied Clifford Algebras, cilt.26, sa.1, ss.39-51, 2016 (SCI-Expanded, Scopus)
- 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.