Special bihyperbolic numbers and their connections with triangular tables and matrices

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.

Authors

Institutions

Publication Details

Journal
Annales Universitatis Mariae Curie-Sklodowska sectio A – Mathematica
Published
2025-12-31
DOI
https://doi.org/10.17951/a.2025.79.2.1-15
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Special bihyperbolic numbers and their connections with triangular tables and matrices

Paweł Bednarz, Anna Kosiorowska, Adrian Michalski
Annales Universitatis Mariae Curie-Sklodowska sectio A – Mathematica
Advanced Mathematical Theories and Applications
article

Special bihyperbolic numbers and their connections with triangular tables and matrices

Paweł Bednarz, Anna Kosiorowska, Adrian Michalski
article en

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.

Annales Universitatis Mariae Curie-Sklodowska sectio A – MathematicaVol. 79(2)
Rzeszów University of Technology (PL)
Reduced inequalities
Openalex Percentile: Top 28%
Advanced Mathematical Theories and Applications
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Special bihyperbolic numbers and their connections with triangular tables and matrices — Paweł Bednarz, Anna Kosiorowska, et al. · Annales Universitatis Mariae Curie-Sklodowska sectio A – Mathematica (2025) | TGRS Research Map | TGRS