ALGEBRAIC PROPERTIES OF BI-PERIODIC DUAL FIBONACCI QUATERNIONS

Ates F., Gok İ., Ekmekci N.

KRAGUJEVAC JOURNAL OF MATHEMATICS, cilt.43, sa.1, ss.99-107, 2019 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 1
  • Basım Tarihi: 2019
  • Dergi Adı: KRAGUJEVAC JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.99-107
  • Anahtar Kelimeler: Dual Fibonacci quaternions, bi-periodic Fibonacci quaternions, bi-periodic dual Fibonacci quaternions, NUMBERS
  • Ankara Üniversitesi Adresli: Evet

Özet

The purpose of the paper is to construct a new representation of dual quaternions called bi-periodic dual Fibonacci quaternions. These quaternions are originated as a generalization of the known quaternions in literature such as dual Fibonacci quaternions, dual Pell quaternions and dual k-Fibonacci quaternions. Moreover, some of them have not been introduced until now. Finally, we calculate the generating function, Binet formula and Catalan's identity of the bi-periodic dual Fibonacci quaternions.