A Generalization of Dual Bi-Periodic Fibonacci Quaternions

TAN E., Gok İ.

JOURNAL OF MATHEMATICAL EXTENSION, cilt.13, sa.1, ss.67-81, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2019
  • Dergi Adı: JOURNAL OF MATHEMATICAL EXTENSION
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.67-81
  • Anahtar Kelimeler: Fibonacci sequence, bi-periodic Fibonacci sequence, quaternions, dual quaternions, dual Fibonacci quaternions, NUMBERS
  • Ankara Üniversitesi Adresli: Evet

Özet

The purpose of the paper is to present a new generalization of the dual Fibonacci quaternions called the generalized dual bi-periodic Fibonacci quaternions. This new generalization allows us to state dual quaternion sequences as a unique sequence. Furthermore, we give the generating function, the Binet formula, the norm value of these dual quaternions, and some basic properties of them.