Mathematics (May 2022)

New Properties and Identities for Fibonacci Finite Operator Quaternions

  • Nazlıhan Terzioğlu,
  • Can Kızılateş,
  • Wei-Shih Du

DOI
https://doi.org/10.3390/math10101719
Journal volume & issue
Vol. 10, no. 10
p. 1719

Abstract

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In this paper, with the help of the finite operators and Fibonacci numbers, we define a new family of quaternions whose components are the Fibonacci finite operator numbers. We also provide some properties of these types of quaternions. Moreover, we derive many identities related to Fibonacci finite operator quaternions by using the matrix representations.

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