Bihyperbolic numbers of the Fibonacci type as tridiagonal  matrix determinants

Dorota Bród; Anetta Szynal-Liana

doi:10.5269/bspm.68492

Dorota Bród Rzeszow University of Technology
Anetta Szynal-Liana Rzeszow University of Technology

Abstract

Bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper, we construct a family of tridiagonal matrices which determinants (continuants) and permanents can represent the sequences of bihyperbolic numbers of the Fibonacci type.

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