Special bihyperbolic numbers and their connections with triangular tables and matrices

Paweł Bednarz, Anna Kosiorowska, Adrian Michalski

Abstract


In this paper we express special bihyperbolic numbers as paradeterminants and parapermanents of some triangular matrices. Moreover, by applying the connections between these parameters of triangular tables and the determinants and permanents of lower Hessenberg matrices, we obtain another expressions of these numbers, using matrices which are not triangular.

Keywords


Bihyperbolic numbers; balancing numbers; Mersenne numbers; triangular matrix; Hessenberg matrix

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References


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DOI: http://dx.doi.org/10.17951/a.2025.79.2.1-15
Date of publication: 2025-12-31 17:49:56
Date of submission: 2025-12-31 17:06:38


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