A Generalization of Dual Bi-Periodic Fibonacci Quaternions

TAN E., Gok İ.

JOURNAL OF MATHEMATICAL EXTENSION, vol.13, no.1, pp.67-81, 2019 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 1
  • Publication Date: 2019
  • Journal Name: JOURNAL OF MATHEMATICAL EXTENSION
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.67-81
  • Keywords: Fibonacci sequence, bi-periodic Fibonacci sequence, quaternions, dual quaternions, dual Fibonacci quaternions, NUMBERS
  • Ankara University Affiliated: Yes

Abstract

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.