On k-Fibonacci hybrid numbers and their matrix representations

Fügen Torunbalcı Aydın
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 27, 2021, Number 4, Pages 257—266
DOI: 10.7546/nntdm.2021.27.4.257-266
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Fügen Torunbalcı Aydın
Yildiz Technical University, Faculty of Chemical and Metallurgical Engineering
Department of Mathematical Engineering
Davutpasa Campus, 34220, Esenler, Istanbul, Turkey

Abstract

In this paper, k-Fibonacci hybrid numbers are defined. Also, some algebraic properties of k-Fibonacci hybrid numbers such as Honsberger identity, Binet Formula, generating functions, d’Ocagne identity, Cassini and Catalan identities are investigated. In addition, we also give 2 × 2 and 4 × 4 representations of the k-Fibonacci hybrid numbers HFk,n.

Keywords

  • Hybrid number
  • k-Fibonacci number
  • k-Fibonacci hybrid number
  • k-Fibonacci number hybrid matrix

2020 Mathematics Subject Classification

  • 11B37
  • 11B39
  • 11B50
  • 11C20
  • 15A33

References

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Cite this paper

Aydın Torunbalcı, F. (2021). On k-Fibonacci hybrid numbers and their matrix representations. Notes on Number Theory and Discrete Mathematics, 27(4), 257-266, doi: 10.7546/nntdm.2021.27.4.257-266.

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