On Pell Quaternions and Pell-Lucas Quaternions
Advances in Applied Clifford Algebras, vol.26, no.1, pp.39-51, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 26 Issue: 1
- Publication Date: 2016
- Doi Number: 10.1007/s00006-015-0571-8
- Journal Name: Advances in Applied Clifford Algebras
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.39-51
- Keywords: Pell numbers, Pell quaternions, Pell-Lucas numbers, Pell-Lucas quaternions, Quaternion algebra
- Hatay Mustafa Kemal University Affiliated: Yes
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.