Bihyperbolic numbers of the Fibonacci type and their idempotent representation

Dorota Bród; Anetta Szynal-Liana; Iwona Włoch

Commentationes Mathematicae Universitatis Carolinae (2021)

  • Volume: 62, Issue: 4, page 409-416
  • ISSN: 0010-2628

Abstract

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In this paper we introduce bihyperbolic numbers of the Fibonacci type. We present some of their properties using matrix generators and idempotent representations.

How to cite

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Bród, Dorota, Szynal-Liana, Anetta, and Włoch, Iwona. "Bihyperbolic numbers of the Fibonacci type and their idempotent representation." Commentationes Mathematicae Universitatis Carolinae 62.4 (2021): 409-416. <http://eudml.org/doc/297547>.

@article{Bród2021,
abstract = {In this paper we introduce bihyperbolic numbers of the Fibonacci type. We present some of their properties using matrix generators and idempotent representations.},
author = {Bród, Dorota, Szynal-Liana, Anetta, Włoch, Iwona},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {hyperbolic number; bihyperbolic number; Fibonacci number; Pell number; Jacobsthal number},
language = {eng},
number = {4},
pages = {409-416},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Bihyperbolic numbers of the Fibonacci type and their idempotent representation},
url = {http://eudml.org/doc/297547},
volume = {62},
year = {2021},
}

TY - JOUR
AU - Bród, Dorota
AU - Szynal-Liana, Anetta
AU - Włoch, Iwona
TI - Bihyperbolic numbers of the Fibonacci type and their idempotent representation
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2021
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 62
IS - 4
SP - 409
EP - 416
AB - In this paper we introduce bihyperbolic numbers of the Fibonacci type. We present some of their properties using matrix generators and idempotent representations.
LA - eng
KW - hyperbolic number; bihyperbolic number; Fibonacci number; Pell number; Jacobsthal number
UR - http://eudml.org/doc/297547
ER -

References

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  14. Szynal-Liana A., Włoch I., On Pell and Pell–Lucas hybrid numbers, Comment. Math. 58 (2018), no. 1–2, 11–17. MR3904772
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