More identities on Fibonacci and Lucas hybrid numbers

Nazmiye Yilmaz
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 27, 2021, Number 2, Pages 159—167
DOI: 10.7546/nntdm.2021.27.2.159-167
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Authors and affiliations

Nazmiye Yilmaz
Department of Mathematics, University of Karamanoğlu Mehmetbey
Kamil Özdağ Science Faculty, Turkey

Abstract

We give several identities about Fibonacci and Lucas hybrid numbers. We introduce the Fibonacci and Lucas hybrid numbers with negative subscripts. We obtain different Cassini identities for the conjugate of the Fibonacci and Lucas hybrid numbers by two different determinant definitions of a hybrid square matrix (whose entries are hybrid numbers).

Keywords

  • Binomial
  • Conjugate
  • Fibonacci hybrid number
  • Lucas hybrid number

2020 Mathematics Subject Classification

  • 11B39
  • 97F50

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Cite this paper

Yilmaz, N. (2021). More identities on Fibonacci and Lucas hybrid numbers. Notes on Number Theory and Discrete Mathematics, 27(2), 159-167, doi: 10.7546/nntdm.2021.27.2.159-167.

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