On F(p, n) - Fibonacci quaternions

Authors

  • Anetta Szynal-Liana Rzeszow University of Technology, Faculty of Mathematics and Applied Physics
  • Iwona Włoch Rzeszow University of Technology, Faculty of Mathematics and Applied Physics

DOI:

https://doi.org/10.26485/0459-6854/2018/68.1/9

Keywords:

Fibonacci numbers, Lucas numbers, quaternions, recurrence relations

Abstract

In this paper we introduce and study a special one-parameter generalization of Fibonacci quaternions. We investigate their properties and we give generalizations of some classical results for Fibonacci quaternions.

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Published

2019-04-26

Issue

Vol. 68 No. 1 (2018)

Section

Articles

How to Cite

Szynal-Liana, A., & Włoch, I. (2019). On F(p, n) - Fibonacci quaternions. Bulletin de la Société Des Sciences et Des Lettres de Łódź, 68(1), 131–140. https://doi.org/10.26485/0459-6854/2018/68.1/9